The variation of the maximal function of a radial function
Classical Analysis and ODEs
2017-02-03 v1
Abstract
We study the problem concerning the variation of the Hardy-Littlewood maximal function in higher dimensions. As the main result, we prove that the variation of the non-centered Hardy-Littlewood maximal function of a radial function is comparable to the variation of the function itself.
Cite
@article{arxiv.1702.00669,
title = {The variation of the maximal function of a radial function},
author = {Hannes Luiro},
journal= {arXiv preprint arXiv:1702.00669},
year = {2017}
}