Sharp inequalities for the variation of the discrete maximal function
Classical Analysis and ODEs
2015-12-15 v1
Abstract
In this paper we establish new optimal bounds for the derivative of some discrete maximal functions, both in the centered and uncentered versions. In particular, we solve a question originally posed by Bober, Carneiro, Hughes and Pierce.
Cite
@article{arxiv.1512.04112,
title = {Sharp inequalities for the variation of the discrete maximal function},
author = {José Madrid},
journal= {arXiv preprint arXiv:1512.04112},
year = {2015}
}
Comments
12 pages