On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective
Classical Analysis and ODEs
2019-11-05 v2 Functional Analysis
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 and .
Keywords
Cite
@article{arxiv.1812.00153,
title = {On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective},
author = {Jean Bourgain and Mariusz Mirek and Elias M. Stein and Błażej Wróbel},
journal= {arXiv preprint arXiv:1812.00153},
year = {2019}
}
Comments
24 pages, no figures. Dedicated to Fulvio Ricci on the occasion of his 70th birthday. Revised following the referee report