Pavel Zorin‐Kranich

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All published works

Action	Title	Year	Authors
+	A stationary set method for estimating oscillatory integrals	2024	Saugata Basu Shaoming Guo Ruixiang Zhang Pavel Zorin‐Kranich
+ PDF Chat	Lipschitz estimates in the Besov settings for Young and rough differential equations	2024	Peter K. Friz Hannes Kern Pavel Zorin‐Kranich
+ PDF Chat	Lecture notes on martingale inequalities	2024	Pavel Zorin‐Kranich
+ PDF Chat	Rough semimartingales and p-variation estimates for martingale transforms	2023	Peter K. Friz Pavel Zorin‐Kranich
+ PDF Chat	Decoupling inequalities for quadratic forms	2023	Shaoming Guo Changkeun Oh Ruixiang Zhang Pavel Zorin‐Kranich
+	$L^p$ integrability of functions with Fourier support on a smooth space curve	2023	Shaoming Guo Alex Iosevich Ruixiang Zhang Pavel Zorin‐Kranich
+ PDF Chat	Carleson embedding on the tri-tree and on the tri-disc	2022	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II	2022	James Barker Christoph Thiele Pavel Zorin‐Kranich
+ PDF Chat	Weighted Davis Inequalities for Martingale Square Functions	2022	Dennis Wollgast Pavel Zorin‐Kranich
+	Besov rough path analysis	2022	Peter K. Friz Benjamin Seeger Pavel Zorin‐Kranich
+	The reconstruction theorem in quasinormed spaces	2022	Pavel Zorin‐Kranich
+	Decoupling for two quadratic forms in three variables: a complete characterization	2022	Shaoming Guo Changkeun Oh Joris Roos Po‐Lam Yung Pavel Zorin‐Kranich
+	Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II	2022	James Barker Christoph Thiele Pavel Zorin‐Kranich
+	$A_1$ Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces	2021	Pavel Zorin‐Kranich
+ PDF Chat	Maximal polynomial modulations of singular integrals	2021	Pavel Zorin‐Kranich
+	Improved surrogate bi-parameter maximum principle	2021	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	A1 Fefferman–Stein inequality for maximal functions of martingales in uniformly smooth spaces	2021	Pavel Zorin‐Kranich
+ PDF Chat	A short proof of ℓ2 decoupling for the moment curve	2021	Shaoming Guo Zane Kun Li Po‐Lam Yung Pavel Zorin‐Kranich
+	Reconstruction theorem in quasinormed spaces	2021	Pavel Zorin‐Kranich
+	$A_1$ Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces	2021	Pavel Zorin‐Kranich
+	A stationary set method for estimating oscillatory integrals	2021	Saugata Basu Shaoming Guo Ruixiang Zhang Pavel Zorin‐Kranich
+	Weighted Davis inequalities for martingale square functions	2021	Dennis Wollgast Pavel Zorin‐Kranich
+ PDF Chat	Combinatorial property of all positive measures in dimensions $2$ and $3$	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	A variable coefficient multi-frequency lemma	2020	Shaoming Guo Pavel Zorin‐Kranich
+ PDF Chat	Decoupling for certain quadratic surfaces of low co‐dimensions	2020	Shaoming Guo Pavel Zorin‐Kranich
+ PDF Chat	Weighted Lépingle inequality	2020	Pavel Zorin‐Kranich
+ PDF Chat	A bootstrapping approach to jump inequalities and their applications	2020	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich
+	Jump inequalities for translation-invariant operators of Radon type on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>	2020	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich
+	Variational truncations of singular integrals on spaces of homogeneous type	2020	Pavel Zorin‐Kranich
+	A variable coefficient multi-frequency lemma	2020	Shaoming Guo Pavel Zorin‐Kranich
+	Decoupling inequalities for quadratic forms	2020	Shaoming Guo Changkeun Oh Ruixiang Zhang Pavel Zorin‐Kranich
+	Rough semimartingales and $p$-variation estimates for martingale transforms	2020	Peter K. Friz Pavel Zorin‐Kranich
+	Band-limited maximizers for a Fourier extension inequality on the circle, II	2020	James Barker Christoph Thiele Pavel Zorin‐Kranich
+	Carleson embedding on tri-tree and on tri-disc	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+	A short proof of $\ell^2$ decoupling for the moment curve	2019	Shaoming Guo Zane Kun Li Po‐Lam Yung Pavel Zorin‐Kranich
+ PDF Chat	Kakeya–Brascamp–Lieb inequalities	2019	Pavel Zorin‐Kranich
+	Decoupling for moment manifolds associated to Arkhipov–Chubarikov–Karatsuba systems	2019	Shaoming Guo Pavel Zorin‐Kranich
+ PDF Chat	Jump inequalities via real interpolation	2019	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich
+	Weighted L\'epingle inequality	2019	Pavel Zorin‐Kranich
+	Weighted Lépingle inequality	2019	Pavel Zorin‐Kranich
+ PDF Chat	Ap-A∞ estimates for multilinear maximal and sparse operators	2019	Pavel Zorin‐Kranich
+	A combinatorial property of planar measures and bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Alexander Volberg Pavel Zorin‐Kranich
+	Bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	Band-Limited Maximizers for a Fourier Extension Inequality on the Circle	2019	Diogo Oliveira e Silva Christoph Thiele Pavel Zorin‐Kranich
+	Modulation invariant operators	2019	Pavel Zorin‐Kranich
+	Variational estimates for martingale paraproducts	2019	Vjekoslav Kovač Pavel Zorin‐Kranich
+	Bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+	Decoupling for two quadratic forms in three variables: a complete characterization	2019	Shaoming Guo Changkeun Oh Joris Roos Po-Lam Yung Pavel Zorin‐Kranich
+ PDF Chat	A double return times theorem	2018	Pavel Zorin‐Kranich
+ PDF Chat	Sparse domination on non-homogeneous spaces with an application to $A_p$ weights	2018	Alexander Volberg Pavel Zorin‐Kranich
+ PDF Chat	Square functions for bi-Lipschitz maps and directional operators	2018	Francesco Di Plinio Shaoming Guo Christoph Thiele Pavel Zorin‐Kranich
+	Maximal polynomial modulations of singular integrals	2017	Pavel Zorin‐Kranich
+ PDF Chat	Corners Over Quasirandom Groups	2017	Pavel Zorin‐Kranich
+ PDF Chat	Cancellation for the simplex Hilbert transform	2017	Pavel Zorin‐Kranich
+	A Uniform Random Pointwise Ergodic Theorem	2017	Ben Krause Pavel Zorin‐Kranich
+ PDF Chat	Norm convergence of multiple ergodic averages on amenable groups	2016	Pavel Zorin‐Kranich
+ PDF Chat	Triangles in Cartesian Squares of Quasirandom Groups	2016	Vitaly Bergelson Donald Robertson Pavel Zorin‐Kranich
+ PDF Chat	Weighted and vector-valued variational estimates for ergodic averages	2016	Ben Krause Pavel Zorin‐Kranich
+	Aperture-weighted estimates for intrinsic square functions	2016	Pavel Zorin‐Kranich
+	Sparse domination of uncentered variational operators	2016	Fernanda Clara de França Silva Pavel Zorin‐Kranich
+ PDF Chat	Finite products sets and minimally almost periodic groups	2016	Vitaly Bergelson John Christopherson Donald Robertson Pavel Zorin‐Kranich
+	Sparse domination of sharp variational truncations	2016	Fernanda Clara de França Silva Pavel Zorin‐Kranich
+	Intrinsic square functions with arbitrary aperture	2016	Pavel Zorin‐Kranich
+ PDF Chat	DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION	2015	Vjekoslav Kovač Christoph Thiele Pavel Zorin‐Kranich
+	Variational estimates for averages and truncated singular integrals along the prime numbers	2015	Mariusz Mirek Bartosz Trojan Pavel Zorin‐Kranich
+	A uniform nilsequence Wiener-Wintner theorem for bilinear ergodic averages	2015	Pavel Zorin‐Kranich
+ PDF Chat	A random pointwise ergodic theorem with Hardy field weights	2015	Ben Krause Pavel Zorin‐Kranich
+	A uniform nilsequence Wiener-Wintner theorem for bilinear ergodic averages	2015	Pavel Zorin‐Kranich
+	Variation estimates for averages along primes and polynomials	2014	Pavel Zorin‐Kranich
+ PDF Chat	Return times theorem for amenable groups	2014	Pavel Zorin‐Kranich
+ PDF Chat	Lower bound in the Roth theorem for amenable groups	2014	Qing Chu Pavel Zorin‐Kranich
+ PDF Chat	A nilpotent IP polynomial multiple recurrence theorem	2014	Pavel Zorin‐Kranich
+ PDF Chat	Multiple recurrence for non-commuting transformations along rationally independent polynomials	2013	Nikos Frantzikinakis Pavel Zorin‐Kranich
+	Typical operators admit common cyclic vectors	2013	Pavel Zorin‐Kranich
+ PDF Chat	Cube spaces and the multiple term return times theorem	2013	Pavel Zorin‐Kranich
+	Interpolation between Banach spaces and continuity of Radon-like integral transforms	2013	Pavel Zorin‐Kranich
+	Ergodic theorems for polynomials in nilpotent groups	2013	Pavel Zorin‐Kranich
+ PDF Chat	Uniformity in the Wiener-Wintner theorem for nilsequences	2013	Tanja Eisner Pavel Zorin‐Kranich
+	Interpolation between Banach spaces and continuity of Radon-like integral transforms	2013	Pavel Zorin‐Kranich
+	Norm convergence of nilpotent ergodic averages along F{\o}lner nets	2011	Pavel Zorin‐Kranich
+	Norm convergence of multidimensional nilpotent ergodic averages	2011	Pavel Zorin‐Kranich
+	Typical bounded operators admit common cyclic vectors	2010	Pavel Zorin‐Kranich

Common Coauthors

Coauthor	Papers Together
Shaoming Guo	11
Alexander Volberg	8
Pavel Mozolyako	7
Christoph Thiele	6
Georgios Psaromiligkos	6
Ruixiang Zhang	5
Mariusz Mirek	4
Peter K. Friz	4
Po-Lam Yung	4
Changkeun Oh	4
Nicola Arcozzi	3
Elias M. Stein	3
Shaoming Guo	3
Ben Krause	3
Vjekoslav Kovač	2
Saugata Basu	2
Vitaly Bergelson	2
James Barker	2
Dennis Wollgast	2
Zane Kun Li	2
Donald Robertson	2
Joris Roos	2
Fernanda Clara de França Silva	2
Benjamin Seeger	1
Bartosz Trojan	1
Nikos Frantzikinakis	1
Qing Chu	1
Diogo Oliveira e Silva	1
John Christopherson	1
Alex Iosevich	1
Hannes Kern	1
Tanja Eisner	1
Francesco Di Plinio	1
James Barker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Pointwise ergodic theorems for arithmetic sets	1989	Jean Bourgain	12
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	9
+ PDF Chat	Strong variational and jump inequalities in harmonic analysis	2008	Roger L. Jones Andreas Seeger James Wright	9
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth	8
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	8
+ PDF Chat	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	7
+ PDF Chat	The proof of the l^2 Decoupling Conjecture	2015	Jean Bourgain Ciprian Demeter	7
+ PDF Chat	Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three	2016	Jean Bourgain Ciprian Demeter Larry Guth	7
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	7
+ PDF Chat	A study guide for the l 2 decoupling theorem	2017	Jean Bourgain Ciprian Demeter	6
+ PDF Chat	The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals	2007	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao	6
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	6
+	A Fefferman–Stein inequality for the martingale square and maximal functions	2017	Adam Osȩkowski	6
+	Weighted inequalities for the martingale square and maximal functions	2016	Adam Osȩkowski	6
+	Decoupling for moment manifolds associated to Arkhipov–Chubarikov–Karatsuba systems	2019	Shaoming Guo Pavel Zorin‐Kranich	6
+ PDF Chat	Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities	2010	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao	5
+	Extrapolation of weights revisited: New proofs and sharp bounds	2010	Javier Duoandikoetxea	5
+	RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY	1982	L. N. Vaserstein	5
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain	5
+	Variation estimates for averages along primes and polynomials	2014	Pavel Zorin‐Kranich	5
+ PDF Chat	Weighted norm inequalities for the Hardy maximal function	1972	Benjamin Muckenhoupt	5
+ PDF Chat	On the multilinear restriction and Kakeya conjectures	2006	Jonathan Bennett Anthony Carbery Terence Tao	5
+ PDF Chat	An elementary proof of the A 2 bound	2017	Michael T. Lacey	5
+	Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold	2004	A. Leibman	5
+	A Roth theorem for amenable groups	1997	Vitaly Bergelson Randall McCutcheon Shouxin Zhang	5
+	On pointwise estimates involving sparse operators	2015	Andrei K. Lerner	5
+	Sharp bounds for the cubic Parsell–Vinogradov system in two dimensions	2017	Jean Bourgain Ciprian Demeter Shaoming Guo	5
+	Decouplings for surfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math>	2015	Jean Bourgain Ciprian Demeter	5
+ PDF Chat	Jump inequalities via real interpolation	2019	Mariusz Mirek Elias M. Stein Pavel Zorin‐Kranich	5
+ PDF Chat	The strongp-variation of martingales and orthogonal series	1988	Gilles Pisier Quanhua Xu	5
+ PDF Chat	The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture	2010	Larry Guth	5
+ PDF Chat	Sharp decouplings for three dimensional manifolds in $\mathbb R^5$	2019	Ciprian Demeter Shaoming Guo Fangye Shi	5
+ PDF Chat	Ergodic averages of commuting transformations with distinct degree polynomial iterates	2010	Qing Chu Nikos Frantzikinakis Bernard Host	5
+ PDF Chat	Behaviour of the Brascamp–Lieb constant	2017	Jonathan Bennett Neal Bez Michael Cowling Taryn C. Flock	5
+ PDF Chat	On integer solutions of Parsell–Vinogradov systems	2019	Shaoming Guo Ruixiang Zhang	4
+ PDF Chat	Oscillatory integrals related to Carleson’s theorem	2001	Elias M. Stein Stephen Wainger	4
+	Multiple Recurrence Theorem for Measure Preserving Actions of a Nilpotent Group	1998	A. Leibman	4
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	4
+ PDF Chat	Uniformity seminorms on ℓ∞ and applications	2009	Bernard Host Bryna Kra	4
+ PDF Chat	Martingales in Banach Spaces	2016	Gilles Pisier	4
+	Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces	2015	Christoph Thiele Sergei Treil Alexander Volberg	4
+	Intuitive dyadic calculus: the basics	2015	Andrei K. Lerner Fëdor Nazarov	4
+ PDF Chat	Proof of the Ergodic Theorem	1931	George D. Birkhoff	4
+ PDF Chat	Multiple recurrence for two commuting transformations	2010	Qing Chu	4
+ PDF Chat	Stability of the Brascamp-Lieb constant and applications	2018	Jonathan Bennett Neal Bez Taryn C. Flock Sanghyuk Lee	4
+ PDF Chat	Weighted variation inequalities for differential operators and singular integrals in higher dimensions	2017	Tao Ma José L. Torrea Quanhua Xu	4
+ PDF Chat	Two weight inequalities for individual Haar multipliers and other well localized operators	2008	Fëdor Nazarov Sergei Treil Alexander Volberg	4
+ PDF Chat	Multi-parameter paraproducts	2006	Camil Muscalu Jill Pipher Terence Tao Christoph Thiele	4
+ PDF Chat	Differential equations driven by rough signals	1998	Terry Lyons	4
+	Non-conventional ergodic averages for several commuting actions of an amenable group	2013	Tim Austin	4