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

Published 1 Dec 2018 in math.CA and math.FA | (1812.00153v2)

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 $\mathbb Rd$ and $\mathbb Zd$.

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