Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd

DOI10.1353/ajm.2019.0023zbMath1431.42033arXiv1804.07679OpenAlexW2964386783MaRDI QIDQ5197532

Błażej Wróbel, Mariusz Mirek, Elias M. Stein, Jean Bourgain

Publication date: 18 September 2019

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07679

zbMATH Keywords

Hardy-Littlewood maximal operatordimension-free estimates\(r\)-variational estimates.

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

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Mean oscillation bounds on rearrangements ⋮ Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions ⋮ Dimension-free estimates for Hardy-Littlewood maximal functions with mixed homogeneities ⋮ Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres ⋮ On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates ⋮ A bootstrapping approach to jump inequalities and their applications ⋮ Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems ⋮ Dimension-free estimates for the vector-valued variational operators ⋮ On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective

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