On dimension-free variational inequalities for averaging operators in $\mathbb R^d$
Functional Analysis
2018-01-01 v2 Classical Analysis and ODEs
Abstract
We study dimension-free inequalities for -variations of the Hardy--Littlewood averaging operators defined over symmetric convex bodies in .
Cite
@article{arxiv.1708.04639,
title = {On dimension-free variational inequalities for averaging operators in $\mathbb R^d$},
author = {Jean Bourgain and Mariusz Mirek and Elias M. Stein and Błażej Wróbel},
journal= {arXiv preprint arXiv:1708.04639},
year = {2018}
}
Comments
27 pages, added applications to ergodic theory, to appear in GAFA