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+
PDF
Chat
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A Density Theorem for Higher Order Sums of Prime Numbers
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2024
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Michael T. Lacey
Hamed Mousavi
Yaghoub Rahimi
Manasa N. Vempati
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+
PDF
Chat
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Schatten classes and commutators in the two weight setting, II. Riesz
transforms
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2024
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Michael T. Lacey
Ji Li
Brett D. Wick
Liangchuan Wu
|
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+
PDF
Chat
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Schatten--Lorentz characterization of Riesz transform commutator
associated with Bessel operators
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2024
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Zhijie Fan
Michael T. Lacey
Ji Li
Xiao Xiong
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PDF
Chat
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Besov Space, Schatten Classes, and Commutators of Riesz Transforms Associated with the Neumann Laplacian
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2024
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Zhijie Fan
Michael T. Lacey
Ji Li
Manasa N. Vempati
Brett D. Wick
|
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PDF
Chat
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Lower estimate on square function of an indicator set
|
2023
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Christina Giannitsi
Michael T. Lacey
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+
PDF
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Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform
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2023
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Michael T. Lacey
Ji Li
Brett D. Wick
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+
PDF
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Schatten Classes and Commutators of Riesz Transform on Heisenberg Group and Applications
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2023
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Zhijie Fan
Michael T. Lacey
Ji Li
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+
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Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications
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2023
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Michael T. Lacey
Ji Li
Brett D. Wick
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+
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Lower Estimate on Square Function of an Indicator Set
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2023
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Christina Giannitsi
Michael T. Lacey
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Averages over the Gaussian Primes: Goldbach's Conjecture and Improving Estimates
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2023
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Christina Giannitsi
Ben Krause
Michael T. Lacey
Hamed Mousavi
Yaghoub Rahimi
|
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+
PDF
Chat
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Improving and maximal inequalities for primes in progressions
|
2022
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Christina Giannitsi
Michael T. Lacey
Hamed Mousavi
Yaghoub Rahimi
|
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PDF
Chat
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Endpoint $\ell^r$ improving estimates for prime averages
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2022
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Michael T. Lacey
Hamed Mousavi
Yaghoub Rahimi
|
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+
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Compactness of the Bloom sparse operators and applications
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2022
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Peng Chen
Michael T. Lacey
Ji Li
Manasa N. Vempati
|
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+
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Schatten classes and commutator in the two weight setting, I. Hilbert transform
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2022
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Michael T. Lacey
Ji Li
Brett D. Wick
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+
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On the convergence of multiple ergodic means
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2022
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G. A. Karagulyan
Michael T. Lacey
Vahan A. Martirosyan
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+
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Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian
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2022
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Zhijie Fan
Michael T. Lacey
Ji Li
Manasa N. Vempati
Brett D. Wick
|
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+
PDF
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Compactness of commutator of Riesz transforms in the two weight setting
|
2021
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Michael T. Lacey
Ji Li
|
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+
PDF
Chat
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A POLYNOMIAL ROTH THEOREM FOR CORNERS IN FINITE FIELDS
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2021
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Rui Han
Michael T. Lacey
Fan Yang
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PDF
Chat
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Averages along the square integers âp-improving and sparse inequalities
|
2021
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Rui Han
Michael T. Lacey
Fan Yang
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+
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Notification of error: Multiparameter Riesz commutators
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2021
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Michael T. Lacey
Stefanie Petermichl
Jill Pipher
Brett D. Wick
|
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+
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Commutators of Cauchy-Szego type integrals for domains in C^n with minimal smoothness
|
2021
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Xuan Thinh Duong
Michael T. Lacey
Ji Li
Brett D. Wick
Qingyan Wu
|
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+
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Improving and Maximal Inequalities for Primes in Progressions
|
2021
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Christina Giannitsi
Michael T. Lacey
Hamed Mousavi
Yaghoub Rahimi
|
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+
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Endpoint $ \ell ^{r}$ improving estimates for Prime averages
|
2021
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Michael T. Lacey
Hamed Mousavi
Yaghoub Rahimi
|
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+
PDF
Chat
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A Polynomial Roth Theorem for Corners in Finite Fields
|
2020
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Rui Han
Michael T. Lacey
Fan Yang
|
|
+
PDF
Chat
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Improving Estimates for Discrete Polynomial Averages
|
2020
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Rui Han
Vjekoslav KovaÄ
Michael T. Lacey
José Madrid
Fan Yang
|
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+
PDF
Chat
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Two weight inequalities for positive operators: doubling cubes
|
2020
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Wei Chen
Michael T. Lacey
|
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+
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âp-Improving Inequalities for Discrete Spherical Averages
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2020
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Robert Kesler
Michael T. Lacey
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+
PDF
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Averages Along the Primes: Improving and Sparse Bounds
|
2020
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Rui Han
Ben Krause
Michael T. Lacey
Fan Yang
|
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+
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Compactness of commutator of Riesz transforms in the two weight setting
|
2020
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Michael T. Lacey
Ji Li
|
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+
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A Polynomial Roth Theorem for Corners in Finite Fields
|
2020
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Rui Han
Michael T. Lacey
Fan Yang
|
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+
PDF
Chat
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Sparse bounds for the discrete spherical maximal functions
|
2019
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Robert Kesler
Michael T. Lacey
D. Arias
|
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$\ell^p$-improving estimates for discrete polynomial averages via bounds for exponential sums
|
2019
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Rui Han
Vjekoslav KovaÄ
Michael T. Lacey
Fan Yang
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+
PDF
Chat
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Sparse bounds for spherical maximal functions
|
2019
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Michael T. Lacey
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+
PDF
Chat
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On logarithmic bounds of maximal sparse operators
|
2019
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G. A. Karagulyan
Michael T. Lacey
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+
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Weighted estimates for one-sided martingale transforms
|
2019
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Wei Chen
Rui Han
Michael T. Lacey
|
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+
PDF
Chat
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On convergence of oscillatory ergodic Hilbert transforms
|
2019
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Ben Krause
Michael T. Lacey
ÎĂĄtĂ© Wierdl
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+
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Averages Along the Primes: Improving and Sparse Bounds
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2019
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Rui Han
Ben Krause
Michael T. Lacey
Fan Yang
|
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+
PDF
Chat
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Sparse bounds for the discrete cubic Hilbert transform
|
2018
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Amalia Culiuc
Robert Kesler
Michael T. Lacey
|
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+
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Lacunary Discrete Spherical Maximal Functions
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2018
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Robert Kesler
Michael T. Lacey
DarĂo Mena
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+
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Commutators of Cauchy type integrals for domains in $\C^n$ with minimal smoothness
|
2018
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Xuan Thinh Duong
Michael T. Lacey
Ji Li
Brett D. Wick
Qingyan Wu
|
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+
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Commutators of Cauchy--Szeg\H{o} type integrals for domains in $\mathbb C^n$ with minimal smoothness
|
2018
|
Xuan Thinh Duong
Michael T. Lacey
Ji Li
Brett D. Wick
Qingyan Wu
|
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+
PDF
Chat
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Sparse bounds for maximally truncated oscillatory singular integrals
|
2018
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Ben Krause
Michael T. Lacey
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+
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$\ell^p$-improving inequalities for Discrete Spherical Averages
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2018
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Robert Kesler
Michael T. Lacey
|
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+
PDF
Chat
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Sparse endpoint estimates for BochnerâRiesz multipliers on the plane
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2018
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Robert Kesler
Michael T. Lacey
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PDF
Chat
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Pointwise convergence of WalshâFourier series of vector-valued functions
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2018
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Tuomas Hytönen
Michael T. Lacey
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+
PDF
Chat
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Sparse Bounds for Random Discrete Carleson Theorems
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2018
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Ben Krause
Michael T. Lacey
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Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type
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2018
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Amalia Culiuc
Francesco Di Plinio
Michael T. Lacey
Yumeng Ou
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Weighted Estimates for One Sided Martingale Transforms
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2018
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Chen Wei
Rui Han
Michael T. Lacey
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+
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Two Weight Inequalities for Positive Operators: Doubling Cubes
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2018
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Wei Chen
Michael T. Lacey
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+
PDF
Chat
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Sparse bounds for maximal monomial oscillatory Hilbert transforms
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2018
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Ben Krause
Michael T. Lacey
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+
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Lacunary Discrete Spherical Maximal Functions
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2018
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Robert Kesler
Michael T. Lacey
Dario Mena
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+
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$\ell^p$-improving inequalities for Discrete Spherical Averages
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2018
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Robert Kesler
Michael T. Lacey
|
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+
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Commutators of Cauchy--SzegĆ type integrals for domains in $\mathbb C^n$ with minimal smoothness
|
2018
|
Xuan Thinh Duong
Michael T. Lacey
Ji Li
Brett D. Wick
Qingyan Wu
|
|
+
PDF
Chat
|
Sparse Bounds for BochnerâRiesz Multipliers
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2017
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Michael T. Lacey
D. Arias
MarĂa Carmen Reguera
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+
PDF
Chat
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Local Tb theorem with L 2 testing conditions and general measures: square functions
|
2017
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Michael T. Lacey
Henri Martikainen
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+
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One-bit sensing, discrepancy and Stolarsky's principle
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2017
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Dmitriy Bilyk
Michael T. Lacey
|
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+
PDF
Chat
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An elementary proof of the A 2 bound
|
2017
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Michael T. Lacey
|
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+
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Sparse Bounds for Spherical Maximal Functions
|
2017
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Michael T. Lacey
|
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+
PDF
Chat
|
The Two Weight Inequality for the Hilbert Transform: A Primer
|
2017
|
Michael T. Lacey
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+
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Sparse Bounds for Maximally Truncated Oscillatory Singular Integrals
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2017
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Ben Krause
Michael T. Lacey
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+
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One-bit sensing, discrepancy and Stolarsky's principle
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2017
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Dmitriy Bilyk
Michael T. Lacey
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+
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Sparse Bounds for Spherical Maximal Functions
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2017
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Michael T. Lacey
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+
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On Convergence of Modulated Ergodic Hilbert Transforms
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2016
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Ben Krause
Michael T. Lacey
ÎĂĄtĂ© Wierdl
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The Sparse T1 Theorem
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2016
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Michael T. Lacey
DarĂo Mena
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+
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Sparse Bounds for Oscillatory and Random Singular Integrals
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2016
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Michael T. Lacey
Scott Spencer
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A Weak Type Inequality for Maximal Monomial Oscillatory Hilbert Transforms
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2016
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Ben Krause
Michael T. Lacey
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A Discrete Quadratic Carleson Theorem on with<i>â</i><sup>2</sup>a Restricted Supremum
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2016
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Ben Krause
Michael T. Lacey
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Weak Type Bound for Oscillatory Singular Integrals
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2016
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Michael T. Lacey
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+
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Oscillatory Singular Integrals and Sparse Operators
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2016
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Michael T. Lacey
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PDF
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On the Separated Bumps Conjecture for CalderĂłn-Zygmund Operators
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2016
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Michael T. Lacey
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+
PDF
Chat
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On $$A_p$$ A p â $$A_\infty $$ A â type estimates for square functions
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2016
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Michael T. Lacey
Kangwei Li
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+
PDF
Chat
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Commutators in the two-weight setting
|
2016
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Irina Holmes
Michael T. Lacey
Brett D. Wick
|
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+
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On Convergence of Oscillatory Ergodic Hilbert Transforms
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2016
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Ben Krause
Michael T. Lacey
ÎĂĄtĂ© Wierdl
|
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+
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Sparse Bounds for Maximal Monomial Oscillatory Hilbert Transforms
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2016
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Ben Krause
Michael T. Lacey
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+
PDF
Chat
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Local $Tb$ theorem with $L^2$ testing conditions and general measures: CalderĂłn-Zygmund operators
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2016
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Michael T. Lacey
Henri
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+
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Sparse Bounds for Oscillatory and Random Singular Integrals
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2016
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Michael T. Lacey
Scott Spencer
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+
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Weak Type Bound for Oscillatory Singular Integrals
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2016
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Michael T. Lacey
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+
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Sparse Bounds for Random Discrete Carleson Theorems
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2016
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Ben Krause
Michael T. Lacey
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+
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The Sparse T1 Theorem
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2016
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Michael T. Lacey
DarĂo Mena
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+
PDF
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Borderline weakâtype estimates for singular integrals and square functions
|
2015
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Carlos Domingo-Salazar
Michael T. Lacey
Guillermo Rey
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+
PDF
Chat
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Bloomâs inequality: commutators in a two-weight setting
|
2015
|
Irina Holmes
Michael T. Lacey
Brett D. Wick
|
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+
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Borderline Variants of the Muckenhoupt-Wheeden Inequality for Maximal Singular Integrals
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2015
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Carlos Domingo-Salazar
Michael T. Lacey
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PDF
Chat
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On the Local <i>Tb</i> Theorem: A Direct Proof under the Duality Assumption
|
2015
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Michael T. Lacey
Antti V. VÀhÀkangas
|
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+
PDF
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On Entropy Bumps for CalderĂłn-Zygmund Operators
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2015
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Michael T. Lacey
Scott Spencer
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+
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One Bit Sensing, Discrepancy, and Stolarsky Principle
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2015
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Dmitriy Bilyk
Michael T. Lacey
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+
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A Discrete Quadratic Carleson Theorem on $ \ell ^2 $ with a Restricted Supremum
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2015
|
Ben Krause
Michael T. Lacey
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+
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Random Tessellations, Restricted Isometric Embeddings, and One Bit Sensing
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2015
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Dmitriy Bilyk
Michael T. Lacey
|
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+
PDF
Chat
|
Two-weight inequality for the Hilbert transform: A real variable characterization, I
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2014
|
Michael T. Lacey
Eric T. Sawyer
ChunâYen Shen
Ignacio Uriarte-Tuero
|
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+
PDF
Chat
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Two-weight inequality for the Hilbert transform: A real variable characterization, II
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2014
|
Michael T. Lacey
Eric T. Sawyer
Chun Shen
Ignacio Uriarte-Tuero
|
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+
PDF
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A variation norm Carleson theorem for vector-valued WalshâFourier series
|
2014
|
Tuomas Hytönen
Michael T. Lacey
Ioannis Parissis
|
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+
PDF
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The perfect local $Tb$ Theorem and twisted Martingale transforms
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2014
|
Michael T. Lacey
Antti V. VÀhÀkangas
|
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+
PDF
|
Two weight norm inequalities for the $g$ function
|
2014
|
Michael T. Lacey
Kangwei Li
|
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+
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Two Weight Inequalities for Riesz Transforms: Uniformly Full Dimension Weights
|
2013
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Michael T. Lacey
Brett D. Wick
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+
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Two Weight Inequalities for Riesz Transforms
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2013
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Michael T. Lacey
Brett D. Wick
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+
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Local $Tb$ theorem with $L^2$ testing conditions and general measures: Calder\'on-Zygmund operators
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2013
|
Michael T. Lacey
Henri Martikainen
|
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+
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On the Separated Bumps Conjecture for Calderon-Zygmund Operators
|
2013
|
Michael T. Lacey
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+
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Local Tb theorem with L2 testing conditions and general measures: Square functions
|
2013
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Michael T. Lacey
Henri Martikainen
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+
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Dichotomy results for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>norm of the discrepancy function
|
2013
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Gagik Amirkhanyan
Dmitriy Bilyk
Michael T. Lacey
|
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Estimates of the Discrepancy Function in Exponential Orlicz Spaces
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2013
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Gagik Amirkhanyan
Dmitriy Bilyk
Michael T. Lacey
|
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+
PDF
Chat
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Pointwise convergence of vector-valued Fourier series
|
2013
|
Tuomas Hytönen
Michael T. Lacey
|
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+
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Non-Homogeneous Local $T1$ Theorem: Dual Exponents
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2013
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Michael T. Lacey
Antti V. VÀhÀkangas
|
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+
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On the Two Weight Hilbert Transform Inequality
|
2013
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Michael T. Lacey
|
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+
PDF
Chat
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Sharp weighted bounds for the <i>q</i> -variation of singular integrals
|
2013
|
Tuomas Hytönen
Michael T. Lacey
Carlos PĂ©rez
|
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Two Weight Inequalities for the Cauchy Transform from $ \mathbb{R}$ to $ \mathbb{C}_+$
|
2013
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Michael T. Lacey
Eric T. Sawyer
ChunâYen Shen
Ignacio Uriarte-Tuero
Brett D. Wick
|
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+
PDF
Chat
|
The Supremum Norm of the Discrepancy Function: Recent Results and Connections
|
2013
|
Dmitriy Bilyk
Michael T. Lacey
|
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+
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Two Weight Inequalities for Riesz Transforms: Uniformly Full Dimension Weights
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2013
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Michael T. Lacey
Brett D. Wick
|
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+
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Non-Homogeneous Local $T1$ Theorem: Dual Exponents
|
2013
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Michael T. Lacey
Antti V. VÀhÀkangas
|
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+
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Estimates of the Discrepancy Function in Exponential Orlicz Spaces
|
2013
|
Gagik Amirkhanyan
Dmitriy Bilyk
Michael T. Lacey
|
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+
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Local $Tb$ theorem with $L^2$ testing conditions and general measures: CalderĂłn-Zygmund operators
|
2013
|
Michael T. Lacey
Henri Martikainen
|
|
+
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On the Separated Bumps Conjecture for Calderon-Zygmund Operators
|
2013
|
Michael T. Lacey
|
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+
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Local Tb theorem with L2 testing conditions and general measures: Square functions
|
2013
|
Michael T. Lacey
Henri Martikainen
|
|
+
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The Two Weight Inequality for the Hilbert Transform: A Primer
|
2013
|
Michael T. Lacey
|
|
+
PDF
Chat
|
The vector valued quartile operator
|
2012
|
Tuomas Hytönen
Michael T. Lacey
Ioannis Parissis
|
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+
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Weak and strong type estimates for maximal truncations of CalderĂłn-Zygmund operators on A p weighted spaces
|
2012
|
Tuomas Hytönen
Michael T. Lacey
Henri Martikainen
Tuomas Orponen
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
|
+
PDF
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A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure
|
2012
|
Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
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+
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On the Local $ Tb$ Theorem under Minimal Integrability
|
2012
|
Michael T. Lacey
Antti V. VÀhÀkangas
|
|
+
PDF
Chat
|
Weighted Bounds for Variational WalshâFourier Series
|
2012
|
Yen Do
Michael T. Lacey
|
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+
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A two weight inequality for the Hilbert transform assuming an Energy Hypothesis
|
2012
|
Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
|
+
PDF
Chat
|
Multi-parameter Div-Curl lemmas
|
2012
|
Michael T. Lacey
Stefanie Petermichl
Jill Pipher
Brett D. Wick
|
|
+
PDF
Chat
|
Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals
|
2012
|
Tuomas Hytönen
Michael T. Lacey
Carlos PĂ©rez
|
|
+
PDF
Chat
|
On the A 2 Inequality for CalderĂłnâZygmund Operators
|
2012
|
Michael T. Lacey
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+
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An Ap-Ainfinito inequality for the Hilbert transform
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2012
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Michael T. Lacey
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+
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Weighted Weak Type Estimates for Square Functions
|
2012
|
Michael T. Lacey
James Scurry
|
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+
PDF
Chat
|
The Ap-Ainfty inequality for general Calderon-Zygmund operators
|
2012
|
Tuomas Hytönen
Michael T. Lacey
|
|
+
PDF
|
Weighted bounds for variational Fourier series
|
2012
|
Yen Do
Michael T. Lacey
|
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+
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On the Local $ Tb$ Theorem under Minimal Integrability
|
2012
|
Michael T. Lacey
Antti V. VÀhÀkangas
|
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+
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Weighted bounds for maximal Walsh-Fourier series
|
2011
|
Michael T. Lacey
Yen Do
|
|
+
PDF
Chat
|
On the convergence of lacunary Walsh-Fourier series
|
2011
|
Y. Q.
Michael T. Lacey
|
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+
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The A_p-A_infty inequality for general Calderon--Zygmund operators
|
2011
|
Tuomas Hytönen
Michael T. Lacey
|
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+
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Weak And Strong Type Estimates for Maximal Truncations of Calder\'on-Zygmund Operators on $ A_p$ Weighted Spaces
|
2011
|
Tuomas Hytönen
Michael T. Lacey
Henri Martikainen
Tuomas Orponen
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
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+
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The Two Weight Inequality for Hilbert Transform, Coronas, and Energy Conditions
|
2011
|
Michael T. Lacey
Eric T. Sawyer
ChunâYen Shen
Ignacio Uriarte-Tuero
|
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+
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An A_p --A_infty inequality for the Hilbert Transform
|
2011
|
Michael T. Lacey
|
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+
PDF
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The linear bound in A<sub>2</sub>for CalderĂłnâZygmund operators: a survey
|
2011
|
Michael T. Lacey
|
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+
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Weighted bounds for variational Walsh-Fourier series
|
2011
|
Michael T. Lacey
Yen Do
|
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+
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Weak And Strong Type Estimates for Maximal Truncations of CalderĂłn-Zygmund Operators on $ A_p$ Weighted Spaces
|
2011
|
Tuomas Hytönen
Michael T. Lacey
Henri Martikainen
Tuomas Orponen
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
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+
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The A_p-A_infty inequality for general Calderon--Zygmund operators
|
2011
|
Tuomas P. Hyt"onen
Michael T. Lacey
|
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+
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On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields
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2010
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Michael T. Lacey
Xiaochun Li
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+
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The Linear Bound in A_2 for CalderĂłn-Zygmund Operators: A Survey
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2010
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Michael T. Lacey
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+
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The Linear Bound in A_2 for Calder\'on-Zygmund Operators: A Survey
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2010
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Michael T. Lacey
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+
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Weak and Strong type $ A_p$ Estimates for Calder\'on-Zygmund Operators
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2010
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Tuomas Hytönen
Michael T. Lacey
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
Armen Vagharshakyan
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+
PDF
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Sharp weighted bounds for fractional integral operators
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2010
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Michael T. Lacey
Kabe Moen
Carlos PĂ©rez
Rodolfo H. Torres
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+
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A Two Weight Inequality for the Hilbert transform Assuming an Energy Hypothesis
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2010
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Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
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+
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A characterization of the two weight norm inequality for the Hilbert transform
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2010
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Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
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+
PDF
Chat
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Iterated Riesz commutators: a simple proof of boundedness
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2010
|
Michael T. Lacey
Stefanie Petermichl
Jill Pipher
Brett D. Wick
|
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+
PDF
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On a conjecture of E. M. Stein on the Hilbert transform on vector fields
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2010
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Michael T. Lacey
Xiaochun Li
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+
PDF
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Astalaâs conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane
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2010
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Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
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+
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The Linear Bound in A_2 for CalderĂłn-Zygmund Operators: A Survey
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2010
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Michael T. Lacey
|
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+
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A Two Weight Inequality for the Hilbert transform Assuming an Energy Hypothesis
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2010
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Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
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+
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Weak and Strong type $ A_p$ Estimates for CalderĂłn-Zygmund Operators
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2010
|
Tuomas Hytönen
Michael T. Lacey
MarĂa Carmen Reguera
Eric T. Sawyer
Ignacio Uriarte-Tuero
Armen Vagharshakyan
|
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+
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Sharp A 2 inequality for Haar shift operators
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2009
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Michael T. Lacey
Stefanie Petermichl
MarĂa Carmen Reguera
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PDF
Chat
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Exponential Squared Integrability of the Discrepancy Function in Two Dimensions
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2009
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Dmitriy Bilyk
Michael T. Lacey
Ioannis Parissis
Armen Vagharshakyan
|
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+
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Weak and Strong-type estimates for Haar Shift Operators: Sharp power on the $A_p$ characteristic
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2009
|
Tuomas Hytönen
Michael T. Lacey
MarĂa Carmen Reguera
Armen Vagharshakyan
|
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+
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Weak-type estimates for Haar shift operators: Sharp power on the A(p) characteristic
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2009
|
Michael T. Lacey
Tuomas Hytönen
Armen Vagharshakyan
MarĂa Carmen Reguera
|
|
+
PDF
Chat
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Multiparameter Riesz commutators
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2009
|
Michael T. Lacey
Stefanie Petermichl
Jill Pipher
Brett D. Wick
|
|
+
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Sharp weighted bounds for fractional integral operators
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2009
|
Michael T. Lacey
Kabe Moen
Carlos PĂ©rez
Rodolfo H. Torres
|
|
+
PDF
Chat
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Composition of Haar paraproducts: the random case
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2009
|
Dmitriy Bilyk
Michael T. Lacey
Xiaochun Li
Brett D. Wick
|
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+
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Two Weight Inequalities for Maximal Truncations of Dyadic CalderĂłn-Zygmund Operators
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2009
|
Michael T. Lacey
Eric T. Sawyer
Ignacio Uriate-Tuero
|
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+
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Two Weight Inequalities for Discrete Positive Operators
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2009
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Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
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+
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A Three Dimensional Signed Small Ball Inequality
|
2009
|
Dmitriy Bilyk
Michael T. Lacey
Ioannis Parissis
Armen Vagharshakyan
|
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+
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Sharp $ A_2$ Inequality for Haar Shift Operators
|
2009
|
Michael T. Lacey
Stefanie Petermichl
MarĂa Carmen Reguera
|
|
+
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Haar shifts, commutators, and Hankel operators
|
2009
|
Michael T. Lacey
|
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+
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Hankel operators in several complex variables and product "BMO"
|
2009
|
Michael T. Lacey
Erin Terwilleger
|
|
+
|
Weak and Strong-type estimates for Haar Shift Operators: Sharp power on the $A_p$ characteristic
|
2009
|
Tuomas Hytönen
Michael T. Lacey
MarĂa Carmen Reguera
Armen Vagharshakyan
|
|
+
|
Sharp weighted bounds for fractional integral operators
|
2009
|
Michael T. Lacey
Kabe Moen
Carlos A. PĂ©rez
Rodolfo H. Torres
|
|
+
PDF
|
The Walsh model for $M_2^*$ Carleson
|
2008
|
Ciprian Demeter
Michael T. Lacey
Terence Tao
Christoph Thiele
|
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+
|
A characterization of two weight norm inequalities for maximal singular integrals
|
2008
|
Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
|
+
PDF
Chat
|
Haar Shifts, Commutators, and Hankel Operators
|
2008
|
Michael T. Lacey
|
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+
PDF
|
A WienerâWintner theorem for the Hilbert transform
|
2008
|
Michael T. Lacey
Erin Terwilleger
|
|
+
PDF
Chat
|
On the discrepancy function in arbitrary dimension, close to L 1
|
2008
|
Michael T. Lacey
|
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+
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Astala's Conjecture on Distortion of Hausdorff Measures under Quasiconformal Maps in the Plane
|
2008
|
Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
|
+
PDF
Chat
|
Breaking the duality in the return times theorem
|
2008
|
Ciprian Demeter
Michael T. Lacey
Terence Tao
Christoph Thiele
|
|
+
PDF
Chat
|
On the small ball inequality in three dimensions
|
2008
|
Dmitriy Bilyk
Michael T. Lacey
|
|
+
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Three Dimensional Corners: A Box Norm Proof
|
2008
|
Michael T. Lacey
William H. McClain
|
|
+
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Astala's Conjecture on Distortion of Hausdorff Measures under Quasiconformal Maps in the Plane
|
2008
|
Michael T. Lacey
Eric T. Sawyer
Ignacio Uriarte-Tuero
|
|
+
|
Iterated Riesz Commutators: A Simple Proof of Boundedness
|
2008
|
Michael T. Lacey
Stefanie Petermichl
Jill Pipher
Brett D. Wick
|
|
+
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The Walsh model for $M_2^{*}$ Carleson
|
2007
|
Ciprian Demeter
Michael T. Lacey
Terence Tao
Christoph Thiele
|
|
+
|
On the Small Ball Inequality in all dimensions
|
2007
|
Dmitriy Bilyk
Michael T. Lacey
Armen Vagharshakyan
|
|
+
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On a Stein Conjecture on the Hilbert Transform on Vector Fields
|
2007
|
Michael T. Lacey
Xiaochun Li
|
|
+
PDF
|
Commutators with Reisz potentials in one and several parameters
|
2007
|
Michael T. Lacey
|
|
+
PDF
Chat
|
Paraproducts in one and several parameters
|
2007
|
Michael T. Lacey
Jason Metcalfe
|
|
+
PDF
Chat
|
Lectures on Nehariâs theorem on the polydisk
|
2007
|
Michael T. Lacey
|
|
+
|
On the Small Ball Inequality in All Dimensions
|
2007
|
Dmitry Bilyk
Michael T. Lacey
Armen Vagharshakyan
|
|
+
|
On the Signed Small Ball Inequality
|
2007
|
Dmitriy Bilyk
Michael T. Lacey
Armen Vagharshakyan
|
|
+
|
Issues related to Rubio de Francia's Littlewood-Paley inequality
|
2007
|
Michael T. Lacey
|
|
+
|
The Walsh model for $M_2^{*}$ Carleson
|
2007
|
Ciprian Demeter
Michael T. Lacey
Terence Tao
Christoph Thiele
|
|
+
PDF
|
Maximal theorems for the directional Hilbert transform on the plane
|
2006
|
Michael T. Lacey
Xiaochun Li
|
|
+
|
Breaking the duality in the return times theorem
|
2006
|
Ciprian Demeter
Michael T. Lacey
Terence Tao
Christoph Thiele
|
|
+
|
Wiener-Wintner for Hilbert Transform
|
2006
|
Michael T. Lacey
Erin Terwilleger
|
|
+
|
On a Lipschitz Variant of the Kakeya Maximal Function
|
2006
|
Michael T. Lacey
Xiaochun Li
|
|
+
|
Small Ball and Discrepancy Inequalities
|
2006
|
Michael T. Lacey
|
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+
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On the Discrepancy Function in Arbitary Dimension, Close to L ^{1}
|
2006
|
Michael T. Lacey
|
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+
|
On the Small Ball Inequality in Three Dimensions
|
2006
|
Michael T. Lacey
Dmitry Bilyk
|
|
+
|
Remarks on product VMO
|
2006
|
Michael T. Lacey
Erin Terwilleger
|
|
+
|
Breaking the duality in the return times theorem
|
2006
|
Ciprian Demeter
Michael T. Lacey
Terence Tao
Christoph Thiele
|
|
+
|
Lectures on Nehari's Theorem on the Polydisk
|
2006
|
Michael T. Lacey
|
|
+
|
Remarks on product đđđ
|
2005
|
Michael T. Lacey
Erin Terwilleger
Brett D. Wick
|
|
+
|
Paraproducts in One and Several Parameters
|
2005
|
Michael T. Lacey
Jason Metcalfe
|
|
+
|
On an Argument of Shkredov on Two-Dimensional Corners
|
2005
|
Michael T. Lacey
William H. McClain
|
|
+
|
Commutators with Reisz Potentials in One and Several Parameters
|
2005
|
Michael T. Lacey
|
|
+
|
Paraproducts in One and Several Parameters
|
2005
|
Michael T. Lacey
Jason Metcalfe
|
|
+
|
How to Win a Fellowship for Graduate Study in Mathematics
|
2004
|
Evans M. Harrell
Michael T. Lacey
|
|
+
PDF
|
Carlesonâs Theorem: Proof, Complements, Variations
|
2004
|
Michael T. Lacey
|
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+
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Variations on the Theme of Journe's Lemma
|
2004
|
Carlos Cabrelli
Michael T. Lacey
Ursula Molter
Jill Pipher
|
|
+
|
Rubio de Francia Littlewood Paley Inequalities and Directional Maximal Functions
|
2004
|
Grigor Karagulyan
Michael T. Lacey
|
|
+
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An Estimate of the Maximal Operators Associated with Generalized Lacunary Sets
|
2004
|
Grigor Karagulyan
Michael T. Lacey
|
|
+
PDF
Chat
|
Carleson's theorem
|
2004
|
Michael T. Lacey
|
|
+
|
Third Order Commutator and Product BMO
|
2003
|
Michael T. Lacey
Erin Terwilleger
|
|
+
|
Hankel Operators in Several Complex Variables and Product $BMO\zProd$
|
2003
|
Michael T. Lacey
Erin Terwilleger
|
|
+
|
Issues related to Rubio de Francia's Littlewood--Paley Inequality: A Survey
|
2003
|
Michael T. Lacey
|
|
+
|
On the Hilbert Transform and $C^{1+\ze}$ Families of Lines
|
2003
|
Michael T. Lacey
Xiaochun Li
|
|
+
|
Carleson's Theorem: Proof, Complements, Variations
|
2003
|
Michael T. Lacey
|
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+
|
Maximal Theorems for the Directional Hilbert Transform on the Plane
|
2003
|
Michael T. Lacey
Xiaochun Li
|
|
+
|
A weakâtype orthogonality principle
|
2002
|
José A. Barrionuevo
Michael T. Lacey
|
|
+
PDF
|
The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds
|
2002
|
Steve Hofmann
Michael T. Lacey
Alan McIntosh
|
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+
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The Solution of the Kato Square Root Problem for Second Order Elliptic Operators on \Bbb R n
|
2002
|
Pascal Auscher
Steve Hofmann
Michael T. Lacey
Alan McIntosh
Ph. Tchamitchian
|
|
+
PDF
|
A characterization of product BMO by commutators
|
2002
|
Sarah Hargus Ferguson
Michael T. Lacey
|
|
+
PDF
|
Carleson's theorem with quadratic phase functions
|
2002
|
Michael T. Lacey
|
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+
|
A weak-type orthogonality principle
|
2002
|
José A. Barrionuevo
Michael T. Lacey
|
|
+
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The solution of Kato's conjectures
|
2001
|
Pascal Auscher
Steve Hofmann
Michael T. Lacey
John L. Lewis
Alan McIntosh
Philippe Tchamitchian
|
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+
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On sets of integers not containing long arithmetic progressions
|
2001
|
Izabella Ćaba
Michael T. Lacey
|
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+
|
Carleson's theorem with quadratic phase
|
2001
|
Michael T. Lacey
|
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+
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The solution of Katos conjectures
|
2001
|
Pascal Auscher
Steve Hoffman
Michael T. Lacey
John L. Lewis
Alan McIntosh
Philippe Tchamitchian
|
|
+
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A characterization of product BMO by commutators
|
2001
|
Michael T. Lacey
Sarah Hargus Ferguson
|
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+
|
The bilinear maximal functions map into L^p for 2/3 < p <= 1
|
2000
|
Michael T. Lacey
|
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+
|
On the Hilbert transform and lacunary directions in the plane
|
2000
|
Michael T. Lacey
|
|
+
PDF
|
A proof of boundedness of the Carleson operator
|
2000
|
Michael T. Lacey
Christoph Thiele
|
|
+
|
The Bilinear Maximal Functions Map into L p for 2/3 < p †1
|
2000
|
Michael T. Lacey
|
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+
|
The bilinear maximal functions map into for .
|
2000
|
Michael T. Lacey
|
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+
|
The bilinear maximal functions map into L^p for 2/3 < p <= 1
|
2000
|
Michael T. Lacey
|
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+
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Integer sequences with big gaps and the pointwise ergodic theorem
|
1999
|
R. W. L. Jones
Michael T. Lacey
ÎĂĄtĂ© Wierdl
|
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+
|
On Calder\'on's conjecture
|
1999
|
Michael T. Lacey
Christoph Thiele
|
|
+
|
On Calderon's Conjecture
|
1999
|
Michael T. Lacey
Christoph Thiele
|
|
+
|
On the Hilbert Transform and C^2 Families of Lines
|
1999
|
Michael T. Lacey
|
|
+
|
On CalderĂłn's conjecture
|
1999
|
Michael T. Lacey
Christoph Thiele
|
|
+
PDF
|
On CalderĂłnâs conjecture for the bilinear Hilbert transform
|
1998
|
Michael T. Lacey
Christoph Thiele
|
|
+
|
On the bilinear Hilbert transform
|
1998
|
Michael T. Lacey
|
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+
|
L p Estimates on the Bilinear Hilbert Transform for 2 < p < &#8734
|
1997
|
Michael T. Lacey
Christoph Thiele
|
|
+
PDF
|
The bilinear Hilbert transform is pointwise finite
|
1997
|
Michael T. Lacey
|
|
+
PDF
|
<i> L <sup>p</sup> </i> estimates for the bilinear Hilbert transform
|
1997
|
Michael T. Lacey
Christoph Thiele
|
|
+
|
Sharp Estimates of the Sobolev Norm ofuTimes the Gradient ofv
|
1997
|
Michael T. Lacey
|
|
+
PDF
|
The return time theorem fails on infinite measure-preserving systems
|
1997
|
Michael T. Lacey
|
|
+
PDF
|
On bilinear Littlewood-Paley square functions
|
1996
|
Michael T. Lacey
|
|
+
PDF
|
Spectral criteria, SLLN's and A.S. convergence of series of stationary variables
|
1996
|
Christian Houdré
Michael T. Lacey
|
|
+
|
Ergodic averages on circles
|
1995
|
Michael T. Lacey
|
|
+
PDF
|
Random ergodic theorems with universally representative sequences
|
1994
|
Michael T. Lacey
Karl Petersen
Dan Rudolph
ÎĂĄtĂ© Wierdl
|
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+
|
On central limit theorems, modulus of continuity and diophantine type for irrational rotations
|
1993
|
Michael T. Lacey
|
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+
|
Weak Convergence to Self-Affine Processes in Dynamical Systems
|
1993
|
Michael T. Lacey
|
|
+
PDF
|
On Weak Convergence in Dynamical Systems to Self-Similar Processes with Spectral Representation
|
1991
|
Michael T. Lacey
|
|
+
PDF
|
On weak convergence in dynamical systems to self-similar processes with spectral representation
|
1991
|
Michael T. Lacey
|
|
+
PDF
|
Large Deviations for the Maximum Local Time of Stable Levy Processes
|
1990
|
Michael T. Lacey
|
|
+
PDF
|
Limit laws for local times of the Brownian sheet
|
1990
|
Michael T. Lacey
|
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+
|
A note on the almost sure central limit theorem
|
1990
|
Michael T. Lacey
Walter Philipp
|
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+
|
Laws of the iterated logarithm for partial sum processes indexed by functions
|
1989
|
Michael T. Lacey
|
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+
|
A note on the almost everywhere central limit theorem
|
1989
|
Michael T. Lacey
Walter Philipp
|