On Dimension-Free Variational Inequalities for Averaging Operators in Rd

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

doi:10.1007/s00039-018-0433-3

On Dimension-Free Variational Inequalities for Averaging Operators in R^d

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

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We study dimension-free L^p inequalities for r-variations of the Hardy–Littlewood averaging operators defined over symmetric convex bodies in R^d.

Original language	English (US)
Pages (from-to)	58-99
Number of pages	42
Journal	Geometric and Functional Analysis
Volume	28
Issue number	1
DOIs	https://doi.org/10.1007/s00039-018-0433-3
State	Published - Feb 1 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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title = "On Dimension-Free Variational Inequalities for Averaging Operators in Rd ",

abstract = "We study dimension-free Lp inequalities for r-variations of the Hardy–Littlewood averaging operators defined over symmetric convex bodies in Rd.",

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

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AU - Mirek, Mariusz

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IS - 1

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On Dimension-Free Variational Inequalities for Averaging Operators in R^d

Abstract

All Science Journal Classification (ASJC) codes

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