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arXiv · 1812.00153

On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective

Jean Bourgain·Mariusz Mirek·Elias M. Stein·Błażej Wróbel
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Abstract

This is a survey article about recent developments in dimension-free estimates for maximal functions corresponding to the Hardy--Littlewood averaging operators associated with convex symmetric bodies in $\mathbb R^d$ and $\mathbb Z^d$.

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BibTeXRIS

Jean Bourgain, Mariusz Mirek, Elias M. Stein, Błażej Wróbel. 2018-12-01. On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective. https://arxiv.org/abs/1812.00153

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