The Two Weight Inequality for Hilbert Transform, Coronas, and Energy Conditions

Michael T. Lacey, Eric T. Sawyer, Chun‐Yen Shen, Ignacio Uriarte-Tuero

Type: Preprint

Publication Date: 2011-01-01

Citations: 11

DOI: https://doi.org/10.48550/arxiv.1108.2319

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The Two Weight Inequality for the Hilbert Transform: A Primer	2017	Michael T. Lacey
+	The Two Weight Inequality for the Hilbert Transform: A Primer	2013	Michael T. Lacey
+	On the Two Weight Hilbert Transform Inequality	2013	Michael T. Lacey
+	Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures	2010	Fëdor Nazarov Sergei Treil Alexander Volberg
+	Two-weight Hilbert transform. Towards the main theorem	2003	Alexander Volberg
+	Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures	2010	Fëdor Nazarov Sergei Treil Alexander Volberg
+ PDF Chat	Two-weight inequality for the Hilbert transform: A real variable characterization, II	2014	Michael T. Lacey Eric T. Sawyer Chun Shen Ignacio Uriarte-Tuero
+ PDF Chat	On the two weights problem for the Hilbert transform	1997	Nets Hawk Katz María Pereyra
+	A two weight inequality for the Hilbert transform assuming an Energy Hypothesis	2012	Michael T. Lacey Eric T. Sawyer Ignacio Uriarte-Tuero
+	Two-weight estimate for the Hilbert transform. Preliminaries	2003	Alexander Volberg
+	Two-weight inequalities for the Hilbert transform of monotone functions	2011	V. D. Stepanov Sergey Tikhonov
+	Two-Weight Norm Inequalities for the Fourier Transform	1991	Jeremy M. Wilson
+	Two Weight Inequalities for the Cauchy Transform from $ \mathbb{R}$ to $ \mathbb{C}_+$	2013	Michael T. Lacey Eric T. Sawyer Chun‐Yen Shen Ignacio Uriarte-Tuero Brett D. Wick
+ PDF Chat	Two-weight Hilbert transform and maximal operator	2003	Alexander Volberg
+	Double Hilbert transform on	2013	Xiaona Cui Rui Wang Dunyan Yan
+	Inequalities for the Hilbert transform	2009	Frederick W. King
+	Sharp $ A_2$ Inequality for Haar Shift Operators	2009	Michael T. Lacey Stefanie Petermichl María Carmen Reguera
+	A History of the Corona Problem	2014	Ronald G. Douglas Steven G. Krantz Eric T. Sawyer Sergei Treil Brett D. Wicks
+ PDF Chat	On the Corona Theorem and its Application to Spectral Problems in Hilbert Space	1968	Paul A. Fuhrmann
+ PDF Chat	On the corona theorem and its application to spectral problems in Hilbert space	1968	Paul A. Fuhrmann

Works That Cite This (12)

Action	Title	Year	Authors
+	Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes	2014	Tuomas Hytönen Olli Tapiola
+ PDF Chat	A Two Weight Fractional Singular Integral Theorem with Side Conditions, Energy and k-Energy Dispersed	2017	Eric T. Sawyer Chun‐Yen Shen Ignacio Uriarte-Tuero
+	A two weight theorem for fractional singular integrals with an energy side condition, quasicube testing and common point masses	2015	Eric T. Sawyer Chun‐Yen Shen Ignacio Uriarte-Tuero
+ PDF Chat	A Characterization of Two-Weight Trace Inequalities for Positive Dyadic Operators in the Upper Triangle Case	2013	H. Tanaka
+ PDF Chat	On Two Weight Estimates for Dyadic Operators	2017	Oleksandra Beznosova Dae‐Won Chung Jean Carlo Moraes María Pereyra
+ PDF Chat	Weighted Inequalities and Dyadic Harmonic Analysis	2012	María Pereyra
+ PDF Chat	The perfect local $Tb$ Theorem and twisted Martingale transforms	2014	Michael T. Lacey Antti V. Vähäkangas
+ PDF Chat	$$L^{p}(\mu ) \rightarrow L^{q}(\nu )$$ L p ( μ ) → L q ( ν ) Characterization for Well Localized Operators	2015	Emil Vuorinen
+	A two weight local $Tb$ theorem for $n$-dimensional fractional singular integrals	2020	Christos Grigoriadis Michail Paparizos Eric T. Sawyer Chun‐Yen Shen Ignacio Uriarte-Tuero
+ PDF Chat	Two-weight inequality for the Hilbert transform: A real variable characterization, II	2014	Michael T. Lacey Eric T. Sawyer Chun Shen Ignacio Uriarte-Tuero

Works Cited by This (5)

Action	Title	Year	Authors
+ PDF Chat	A characterization of a two-weight norm inequality for maximal operators	1982	Eric T. Sawyer
+ PDF Chat	A characterization of two weight norm inequalities for fractional and Poisson integrals	1988	Eric T. Sawyer
+	The Bellman function, the two-weight Hilbert transform, and embeddings of the model spacesK θ	2002	Fëdor Nazarov Alexander Volberg
+ PDF Chat	Two weight inequalities for individual Haar multipliers and other well localized operators	2008	Fëdor Nazarov Sergei Treil Alexander Volberg
+	A two weight inequality for the Hilbert transform assuming an Energy Hypothesis	2012	Michael T. Lacey Eric T. Sawyer Ignacio Uriarte-Tuero