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Mariusz Mirek

$$\ell ^p\left( \mathbb {Z}^d\right) $$ ℓ p Z d -estimates for discrete operators of Radon type: variational estimates
2017 · Mariusz Mirek, Elias M. Stein, et al. · Inventiones mathematicae · 73
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Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps
2010 · Mariusz Mirek · Probability Theory and Related Fields · 51
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Discrete maximal functions in higher dimensions and applications to ergodic theory
2016 · Mariusz Mirek, Bartosz Trojan · American Journal of Mathematics · 42
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A bootstrapping approach to jump inequalities and their applications
2020 · Mariusz Mirek, Elias M. Stein, et al. · Analysis & PDE · 39
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Pointwise ergodic theorems for non-conventional bilinear polynomial averages
2022 · Ben Krause, Mariusz Mirek, et al. · Annals of Mathematics · 38
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Jump inequalities via real interpolation
2019 · Mariusz Mirek, Elias M. Stein, et al. · Mathematische Annalen · 37
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ℓ p ( Z d ) -estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates
2018 · Mariusz Mirek, Elias M. Stein, et al. · Journal of Functional Analysis · 34
Jump inequalities for translation-invariant operators of Radon type on Zd
2020 · Mariusz Mirek, Elias M. Stein, et al. · Advances in Mathematics · 32
The multilinear circle method and a question of Bergelson
2024 · Kosz, Dariusz, Mirek, Mariusz, et al. · arXiv (Cornell University) · 31
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On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$ R d
2018 · Jean Bourgain, Mariusz Mirek, et al. · Geometric and Functional Analysis · 31
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Variational Estimates for Averages and Truncated Singular Integrals Along the Prime Numbers
2016 · Mariusz Mirek, Bartosz Trojan, et al. · 30
Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd
2019 · Jean Bourgain, Mariusz Mirek, et al. · American Journal of Mathematics · 27
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Square function estimates for discrete Radon transforms
2017 · Mariusz Mirek · Analysis & PDE · 24
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Roth's theorem in the Piatetski-Shapiro primes
2015 · Mariusz Mirek · Revista Matemática Iberoamericana · 23
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Cotlar’s Ergodic Theorem Along the Prime Numbers
2015 · Mariusz Mirek, Bartosz Trojan · Journal of Fourier Analysis and Applications · 23
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Heavy tailed solutions of multivariate smoothing transforms
2013 · Dariusz Buraczewski, Ewa Damek, et al. · Stochastic Processes and their Applications · 23
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Weak type (1, 1) inequalities for discrete rough maximal functions
2015 · Mariusz Mirek · Journal d Analyse Mathématique · 19
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On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective
2021 · Jean Bourgain, Mariusz Mirek, et al. · Springer INdAM series · 18
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Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives
2022 · Mariusz Mirek, Tomasz Z. Szarek, et al. · Revista Matemática Iberoamericana · 17
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On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates
2020 · Jean Bourgain, Mariusz Mirek, et al. · Lecture notes in mathematics · 17
On a multi-parameter variant of the Bellow–Furstenberg problem
2023 · Jean Bourgain, Mariusz Mirek, et al. · Forum of Mathematics Pi · 16
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Some remarks on oscillation inequalities
2022 · MARIUSZ MIREK, WOJCIECH SŁOMIAN, et al. · Ergodic Theory and Dynamical Systems · 15
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Dimension-Free Estimates for the Discrete Spherical Maximal Functions
2023 · Mariusz Mirek, Tomasz Z Szarek, et al. · International Mathematics Research Notices · 13
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Polynomial progressions in topological fields
2024 · Ben Krause, Mariusz Mirek, et al. · Forum of Mathematics Sigma · 11
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Some remarks on dimension-free estimates for the discrete Hardy—Littlewood maximal functions
2022 · Dariusz Kosz, Mariusz Mirek, et al. · Israel Journal of Mathematics · 11
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Works count: 54
Citation count: 785
H-index: 18
I10-index: 28
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