Edit Profile (opens in new tab) Zorin-Kranich, Pavel Co-Author Distance Author ID: zorin-kranich.pavel Published as: Zorin-Kranich, Pavel; Zorin-Kranich, P.; Kranich, Pavel Zorin more...less Homepage: https://www.math.uni-bonn.de/~pzorin/ External Links: MGP · ORCID · arXiv · Google Scholar Documents Indexed: 41 Publications since 2013 1 Further Contribution Co-Authors: 26 Co-Authors with 27 Joint Publications 504 Co-Co-Authors all top 5 Co-Authors 15 single-authored 6 Guo, Shaoming 4 Mirek, Mariusz 4 Thiele, Christoph Martin 3 Stein, Elias Menachem 3 Volberg, Alexander Lvovich 2 Bergelson, Vitaly 2 Friz, Peter Karl 2 Kovač, Vjekoslav 2 Krause, Ben 2 Mozolyako, Pavel A. 2 Oh, Changkeun 2 Psaromiligkos, Georgios 2 Robertson, Donald 2 Yung, Polam 1 Barker, James 1 Christopherson, J. C. 1 Chu, Qing 1 di Plinio, Francesco 1 Eisner, Tanja 1 Frantzikinakis, Nikos 1 Li, Zane Kun 1 Oliveira e Silva, Diogo 1 Roos, Joris 1 Seeger, Benjamin 1 Trojan, Bartosz 1 Wollgast, Dennis 1 Zhang, Ruixiang all top 5 Serials 4 Ergodic Theory and Dynamical Systems 4 Revista Matemática Iberoamericana 3 Journal d’Analyse Mathématique 3 Advances in Mathematics 3 Journal of Functional Analysis 2 Israel Journal of Mathematics 2 Experimental Mathematics 2 Combinatorics, Probability and Computing 1 American Journal of Mathematics 1 The Annals of Probability 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Journal of Theoretical Probability 1 Mathematical Research Letters 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis & PDE 1 Forum of Mathematics, Sigma all top 5 Fields 20 Harmonic analysis on Euclidean spaces (42-XX) 13 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 7 Measure and integration (28-XX) 5 Number theory (11-XX) 5 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Abstract harmonic analysis (43-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 213 times in 142 Documents Cited by ▼ Year ▼ Variation estimates for averages along primes and polynomials. Zbl 1304.42031Zorin-Kranich, Pavel 18 2015 Uniformity in the Wiener-Wintner theorem for nilsequences. Zbl 1308.37006Eisner, Tanja; Zorin-Kranich, Pavel 17 2013 Variational estimates for averages and truncated singular integrals along the prime numbers. Zbl 1375.37023Mirek, Mariusz; Trojan, Bartosz; Zorin-Kranich, Pavel 16 2017 A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 13 2020 Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\). Zbl 1436.42022Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 13 2020 Square functions for bi-Lipschitz maps and directional operators. Zbl 1400.42023Di Plinio, Francesco; Guo, Shaoming; Thiele, Christoph; Zorin-Kranich, Pavel 13 2018 Jump inequalities via real interpolation. Zbl 1448.60052Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 11 2020 Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems. Zbl 1469.11273Guo, Shaoming; Zorin-Kranich, Pavel 10 2020 Norm convergence of multiple ergodic averages on amenable groups. Zbl 1390.37009Zorin-Kranich, Pavel 10 2016 Weighted and vector-valued variational estimates for ergodic averages. Zbl 1395.37004Krause, Ben; Zorin-Kranich, Pavel 9 2018 Dyadic triangular Hilbert transform of two general functions and one not too general function. Zbl 1335.42009Kovač, Vjekoslav; Thiele, Christoph; Zorin-Kranich, Pavel 9 2015 Cancellation for the simplex Hilbert transform. Zbl 1387.42014Zorin-Kranich, Pavel 8 2017 A random pointwise ergodic theorem with Hardy field weights. Zbl 1366.37012Krause, Ben; Zorin-Kranich, Pavel 8 2015 Return times theorem for amenable groups. Zbl 1314.37009Zorin-Kranich, Pavel 6 2014 Sparse domination on non-homogeneous spaces with an application to \(A_p\) weights. Zbl 1409.42013Volberg, Alexander; Zorin-Kranich, Pavel 5 2018 \(A_p - A_ \infty\) estimates for multilinear maximal and sparse operators. Zbl 1423.42034Zorin-Kranich, Pavel 5 2019 Lower bound in the Roth theorem for amenable groups. Zbl 1352.37005Chu, Qing; Zorin-Kranich, Pavel 5 2015 Variational estimates for martingale paraproducts. Zbl 1422.60068Kovač, Vjekoslav; Zorin-Kranich, Pavel 4 2019 Finite products sets and minimally almost periodic groups. Zbl 1358.37009Bergelson, V.; Christopherson, J. C.; Robertson, D.; Zorin-Kranich, P. 4 2016 A double return times theorem. Zbl 1412.37007Zorin-Kranich, Pavel 3 2019 A short proof of \(\ell^2\) decoupling for the moment curve. Zbl 1493.11115Guo, Shaoming; Li, Zane Kun; Yung, Po-Lam; Zorin-Kranich, Pavel 3 2021 Besov rough path analysis (with an appendix by Pavel Zorin-Kranich). Zbl 1507.60144Friz, Peter K.; Seeger, Benjamin 3 2022 Maximal polynomial modulations of singular integrals. Zbl 1467.42024Zorin-Kranich, Pavel 3 2021 A nilpotent IP polynomial multiple recurrence theorem. Zbl 1319.37009Zorin-Kranich, Pavel 3 2014 Cube spaces and the multiple term return times theorem. Zbl 1351.37024Zorin-Kranich, Pavel 3 2014 Kakeya-Brascamp-Lieb inequalities. Zbl 1451.26034Zorin-Kranich, Pavel 2 2020 Combinatorial property of all positive measures in dimensions 2 and 3. Zbl 1450.42010Mozolyako, Pavel; Psaromiligkos, Georgios; Volberg, Alexander; Kranich, Pavel Zorin 2 2020 Triangles in Cartesian squares of quasirandom groups. Zbl 1371.05314Bergelson, V.; Robertson, D.; Zorin-Kranich, P. 2 2017 Multiple recurrence for non-commuting transformations along rationally independent polynomials. Zbl 1317.37037Frantzikinakis, Nikos; Zorin-Kranich, Pavel 2 2015 Decoupling for certain quadratic surfaces of low co-dimensions. Zbl 1454.42015Guo, Shaoming; Zorin-Kranich, Pavel 2 2020 Weighted Lépingle inequality. Zbl 1468.60053Zorin-Kranich, Pavel 1 2020 Typical operators admit common cyclic vectors. Zbl 1277.47013Zorin-Kranich, Pavel 1 2013 Decoupling for two quadratic forms in three variables: a complete characterization. Zbl 1514.42023Guo, Shaoming; Oh, Changkeun; Roos, Joris; Yung, Po-Lam; Zorin-Kranich, Pavel 1 2023 \(A_1\) Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces. Zbl 1489.60068Zorin-Kranich, Pavel 1 2021 Decoupling for two quadratic forms in three variables: a complete characterization. Zbl 1514.42023Guo, Shaoming; Oh, Changkeun; Roos, Joris; Yung, Po-Lam; Zorin-Kranich, Pavel 1 2023 Besov rough path analysis (with an appendix by Pavel Zorin-Kranich). Zbl 1507.60144Friz, Peter K.; Seeger, Benjamin 3 2022 A short proof of \(\ell^2\) decoupling for the moment curve. Zbl 1493.11115Guo, Shaoming; Li, Zane Kun; Yung, Po-Lam; Zorin-Kranich, Pavel 3 2021 Maximal polynomial modulations of singular integrals. Zbl 1467.42024Zorin-Kranich, Pavel 3 2021 \(A_1\) Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces. Zbl 1489.60068Zorin-Kranich, Pavel 1 2021 A bootstrapping approach to jump inequalities and their applications. Zbl 1437.42023Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 13 2020 Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\). Zbl 1436.42022Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 13 2020 Jump inequalities via real interpolation. Zbl 1448.60052Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel 11 2020 Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems. Zbl 1469.11273Guo, Shaoming; Zorin-Kranich, Pavel 10 2020 Kakeya-Brascamp-Lieb inequalities. Zbl 1451.26034Zorin-Kranich, Pavel 2 2020 Combinatorial property of all positive measures in dimensions 2 and 3. Zbl 1450.42010Mozolyako, Pavel; Psaromiligkos, Georgios; Volberg, Alexander; Kranich, Pavel Zorin 2 2020 Decoupling for certain quadratic surfaces of low co-dimensions. Zbl 1454.42015Guo, Shaoming; Zorin-Kranich, Pavel 2 2020 Weighted Lépingle inequality. Zbl 1468.60053Zorin-Kranich, Pavel 1 2020 \(A_p - A_ \infty\) estimates for multilinear maximal and sparse operators. Zbl 1423.42034Zorin-Kranich, Pavel 5 2019 Variational estimates for martingale paraproducts. Zbl 1422.60068Kovač, Vjekoslav; Zorin-Kranich, Pavel 4 2019 A double return times theorem. Zbl 1412.37007Zorin-Kranich, Pavel 3 2019 Square functions for bi-Lipschitz maps and directional operators. Zbl 1400.42023Di Plinio, Francesco; Guo, Shaoming; Thiele, Christoph; Zorin-Kranich, Pavel 13 2018 Weighted and vector-valued variational estimates for ergodic averages. Zbl 1395.37004Krause, Ben; Zorin-Kranich, Pavel 9 2018 Sparse domination on non-homogeneous spaces with an application to \(A_p\) weights. Zbl 1409.42013Volberg, Alexander; Zorin-Kranich, Pavel 5 2018 Variational estimates for averages and truncated singular integrals along the prime numbers. Zbl 1375.37023Mirek, Mariusz; Trojan, Bartosz; Zorin-Kranich, Pavel 16 2017 Cancellation for the simplex Hilbert transform. Zbl 1387.42014Zorin-Kranich, Pavel 8 2017 Triangles in Cartesian squares of quasirandom groups. Zbl 1371.05314Bergelson, V.; Robertson, D.; Zorin-Kranich, P. 2 2017 Norm convergence of multiple ergodic averages on amenable groups. Zbl 1390.37009Zorin-Kranich, Pavel 10 2016 Finite products sets and minimally almost periodic groups. Zbl 1358.37009Bergelson, V.; Christopherson, J. C.; Robertson, D.; Zorin-Kranich, P. 4 2016 Variation estimates for averages along primes and polynomials. Zbl 1304.42031Zorin-Kranich, Pavel 18 2015 Dyadic triangular Hilbert transform of two general functions and one not too general function. Zbl 1335.42009Kovač, Vjekoslav; Thiele, Christoph; Zorin-Kranich, Pavel 9 2015 A random pointwise ergodic theorem with Hardy field weights. Zbl 1366.37012Krause, Ben; Zorin-Kranich, Pavel 8 2015 Lower bound in the Roth theorem for amenable groups. Zbl 1352.37005Chu, Qing; Zorin-Kranich, Pavel 5 2015 Multiple recurrence for non-commuting transformations along rationally independent polynomials. Zbl 1317.37037Frantzikinakis, Nikos; Zorin-Kranich, Pavel 2 2015 Return times theorem for amenable groups. Zbl 1314.37009Zorin-Kranich, Pavel 6 2014 A nilpotent IP polynomial multiple recurrence theorem. Zbl 1319.37009Zorin-Kranich, Pavel 3 2014 Cube spaces and the multiple term return times theorem. Zbl 1351.37024Zorin-Kranich, Pavel 3 2014 Uniformity in the Wiener-Wintner theorem for nilsequences. Zbl 1308.37006Eisner, Tanja; Zorin-Kranich, Pavel 17 2013 Typical operators admit common cyclic vectors. Zbl 1277.47013Zorin-Kranich, Pavel 1 2013 all cited Publications top 5 cited Publications all top 5 Cited by 177 Authors 16 Zorin-Kranich, Pavel 11 Mirek, Mariusz 10 Durcik, Polona 8 Bergelson, Vitaly 8 Eisner, Tanja 8 Guo, Shaoming 8 Hong, Guixiang 7 Kovač, Vjekoslav 6 Chen, Yanping 6 Stein, Elias Menachem 5 di Plinio, Francesco 5 Krause, Ben 5 Liu, Honghai 5 Roos, Joris 5 Seeger, Andreas 5 Tao, Terence 5 Thiele, Christoph Martin 5 Yung, Polam 4 Li, Zane Kun 4 Ma, Tao 4 Trojan, Bartosz 3 Bourgain, Jean 3 Ding, Yong 3 Konieczny, Jakub 3 Madrid, José A. Jiménez 3 Magyar, Akos 3 Robertson, Donald 3 Yu, Haixia 2 Ackelsberg, Ethan M. 2 Anderson, Theresa C. 2 Assani, Idris 2 Beltran, David 2 Best, Andrew 2 Cao, Mingming 2 Cladek, Laura 2 Conde-Alonso, Jose M. 2 Dong, Dong 2 Frantzikinakis, Nikos 2 Gong, Zhenbing 2 Greenfeld, Rachel 2 Ionescu, Alexandru D. 2 Jamneshan, Asgar 2 Lacey, Michael T. 2 Liu, Feng 2 Liu, Naijia 2 Moore, Ryo 2 Moragues, Andreu Ferré 2 Oh, Changkeun 2 Pierce, Lillian B. 2 Ramos, João Pedro Gonçalves 2 Słomian, Wojciech 2 Street, Brian 2 Szarek, Tomasz Zachary 2 Wróbel, Błażej Jan 2 Yabuta, Kôzô 1 Accomazzo, Natalia 1 Almeida, Víctor M. 1 Amenta, Alex 1 Austin, Tim D. 1 Betancor Perez, Jorge Juan 1 Bhojak, Ankit 1 Bramati, Roberto 1 Brandes, Julia 1 Buczolich, Zoltán 1 Byszewski, Jakub 1 Chang, Alan 1 Chilin, Vladimir Ivanovich 1 Choi, Jaeyong 1 Christ, Michael 1 Christopherson, J. C. 1 Cook, Brian 1 Cui, Peng 1 Cuny, Christophe 1 de Dios Pont, Jaume 1 Dominguez, Oscar 1 Donoso, Sebastián 1 Dueñez, Eduardo 1 Duncan, Jennifer 1 Fan, Ai Hua 1 Fariña, Juan Carlos 1 Farkas, Bálint 1 Fefferman, Charles Louis 1 Fraccaroli, Marco 1 Friz, Peter Karl 1 Ghosh, Abhishek 1 Glasscock, Daniel 1 Grafakos, Loukas 1 Gutman, Yonatan 1 He, Kaili 1 Henriot, Kevin 1 Hickman, Jonathan 1 Hormozi, Mahdi 1 Host, Bernard 1 Hu, Bingyang 1 Huang, Wen 1 Hughes, Kevin 1 Huryn, Jake 1 Hytönen, Tuomas P. 1 Ibañez-Firnkorn, Gonzalo 1 Ionescu, Alex ...and 77 more Authors all top 5 Cited in 60 Serials 11 The Journal of Fourier Analysis and Applications 8 Journal d’Analyse Mathématique 8 Advances in Mathematics 7 Journal of Functional Analysis 7 Ergodic Theory and Dynamical Systems 6 Israel Journal of Mathematics 6 Mathematische Annalen 5 Journal of Mathematical Analysis and Applications 5 Mathematische Zeitschrift 3 Inventiones Mathematicae 3 Transactions of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Discrete and Continuous Dynamical Systems 3 Science China. Mathematics 2 American Journal of Mathematics 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Collectanea Mathematica 2 Mathematika 2 Proceedings of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Combinatorics, Probability and Computing 2 Electronic Communications in Probability 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Forum of Mathematics, Sigma 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Studia Mathematica 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Revista de la Unión Matemática Argentina 1 Statistics & Probability Letters 1 Journal of Theoretical Probability 1 Publicacions Matemàtiques 1 Bulletin of the American Mathematical Society. New Series 1 Bernoulli 1 Abstract and Applied Analysis 1 Journal of Group Theory 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Complex Variables and Elliptic Equations 1 Algebra & Number Theory 1 Involve 1 Analysis & PDE 1 Journal of Pseudo-Differential Operators and Applications 1 Forum of Mathematics, Pi 1 Advances in Nonlinear Analysis 1 Discrete Analysis 1 Proceedings of the American Mathematical Society. Series B 1 Bulletin of the Hellenic Mathematical Society all top 5 Cited in 29 Fields 87 Harmonic analysis on Euclidean spaces (42-XX) 43 Dynamical systems and ergodic theory (37-XX) 27 Number theory (11-XX) 19 Functional analysis (46-XX) 17 Measure and integration (28-XX) 13 Integral transforms, operational calculus (44-XX) 11 Combinatorics (05-XX) 10 Abstract harmonic analysis (43-XX) 9 Operator theory (47-XX) 7 Real functions (26-XX) 7 Probability theory and stochastic processes (60-XX) 5 Topological groups, Lie groups (22-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Convex and discrete geometry (52-XX) 4 Partial differential equations (35-XX) 4 Difference and functional equations (39-XX) 3 Group theory and generalizations (20-XX) 2 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year