Sobolev spaces, Lebesgue points and maximal functions
Functional Analysis
2013-06-28 v1
Abstract
In this note we study boundedness of a large class of maximal operators in Sobolev spaces that includes the spherical maximal operator. We also study the size of the set of Lebesgue points with respect to convergence associated with such maximal operators.
Cite
@article{arxiv.1306.6503,
title = {Sobolev spaces, Lebesgue points and maximal functions},
author = {Piotr Hajlasz and Zhuomin Liu},
journal= {arXiv preprint arXiv:1306.6503},
year = {2013}
}