On discrete hardy–littlewood maximal functions over the balls in Zd: Dimension-Free Estimates

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

doi:https://doi.org/10.1007/978-3-030-36020-7_8

On discrete hardy–littlewood maximal functions over the balls in Z^d: Dimension-Free Estimates

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

SAS - Mathematics

Rutgers, The State University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We show that the discrete Hardy–Littlewood maximal functions associated with the Euclidean balls in ℤ^d with dyadic radii have bounds independent of the dimension on ℓ^p(ℤ^d) for p ∈ [2, ∞].

Original language	English (US)
Title of host publication	Lecture Notes in Mathematics
Publisher	Springer
Pages	127-169
Number of pages	43
DOIs	https://doi.org/10.1007/978-3-030-36020-7_8
State	Published - 2020

Publication series

Name	Lecture Notes in Mathematics
Volume	2256

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

https://doi.org/10.1007/978-3-030-36020-7_8

Cite this

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title = "On discrete hardy–littlewood maximal functions over the balls in Zd: Dimension-Free Estimates",

abstract = "We show that the discrete Hardy–Littlewood maximal functions associated with the Euclidean balls in ℤd with dyadic radii have bounds independent of the dimension on ℓp(ℤd) for p ∈ [2, ∞].",

author = "Jean Bourgain and Mariusz Mirek and Stein, {Elias M.} and B{\l}a{\.z}ej Wr{\'o}bel",

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