ℓpZd-estimates for discrete operators of Radon type: variational estimates M Mirek, EM Stein, B Trojan
Inventiones mathematicae 209 (3), 665-748, 2017
76 2017 Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps M Mirek
Probability Theory and Related Fields 151 (3), 705-734, 2011
64 2011 ℓp (Zd)-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates M Mirek, EM Stein, B Trojan
Journal of Functional Analysis 277 (8), 2471-2521, 2019
42 2019 Discrete maximal functions in higher dimensions and applications to ergodic theory M Mirek, B Trojan
American Journal of Mathematics 138 (6), 1495-1532, 2016
37 2016 Pointwise ergodic theorems for non-conventional bilinear polynomial averages B Krause, M Mirek, T Tao
Annals of Mathematics 195 (3), 997-1109, 2022
35 2022 Variational estimates for averages and truncated singular integrals along the prime numbers M Mirek, B Trojan, P Zorin-Kranich
Transactions of the American Mathematical Society 369 (8), 5403-5423, 2017
35 2017 Jump inequalities for translation-invariant operators of Radon type on Zd M Mirek, EM Stein, P Zorin-Kranich
Advances in Mathematics 365, 107065, 2020
34 2020 A bootstrapping approach to jump inequalities and their applications M Mirek, EM Stein, P Zorin-Kranich
Analysis & PDE 13 (2), 527-558, 2020
30 2020 Jump inequalities via real interpolation M Mirek, EM Stein, P Zorin-Kranich
Mathematische Annalen 376 (1), 797-819, 2020
30 2020 Cotlar’s ergodic theorem along the prime numbers M Mirek, B Trojan
Journal of Fourier Analysis and Applications 21, 822-848, 2015
28 2015 On dimension-free variational inequalities for averaging operators in J Bourgain, M Mirek, EM Stein, B Wróbel
Geometric and Functional Analysis 28 (1), 228-288, 2018
25 2018 Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd J Bourgain, M Mirek, EM Stein, B Wróbel
American Journal of Mathematics 141 (4), 587-905, 2019
24 2019 Roth's theorem in the Piatetski-Shapiro primes M Mirek
Revista matemática iberoamericana 31 (2), 617-656, 2015
23 2015 Heavy tailed solutions of multivariate smoothing transforms D Buraczewski, E Damek, S Mentemeier, M Mirek
Stochastic Processes and Their Applications 123 (6), 1947-1986, 2013
23 2013 Weak type (1, 1) inequalities for discrete rough maximal functions M Mirek
arXiv preprint arXiv:1305.0575, 2013
17 2013 Square function estimates for discrete Radon transforms M Mirek
Analysis & PDE, 0
16 * On Discrete Hardy–Littlewood Maximal Functions over the Balls in ℤ d: Dimension-Free Estimates J Bourgain, M Mirek, EM Stein, B Wróbel
Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 …, 2020
14 * 2020 ℓ p (Z)-Boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems M Mirek
Mathematische Zeitschrift 279 (1-2), 27-59, 2015
14 2015 Some remarks on oscillation inequalities M Mirek, W Słomian, TZ Szarek
Ergodic Theory and Dynamical Systems 43 (10), 3383-3412, 2023
13 2023 On the Hardy–Littlewood maximal functions in high dimensions: continuous and discrete perspective J Bourgain, M Mirek, EM Stein, B Wróbel
Geometric aspects of harmonic analysis, 107-148, 2021
13 2021