Derivative bounds for fractional maximal functions
Classical Analysis and ODEs
2021-09-30 v2
Abstract
In this paper we study the regularity properties of fractional maximal operators acting on -functions. We establish new bounds for the derivative of the fractional maximal function, both in the continuous and in the discrete settings.
Cite
@article{arxiv.1510.02965,
title = {Derivative bounds for fractional maximal functions},
author = {Emanuel Carneiro and José Madrid},
journal= {arXiv preprint arXiv:1510.02965},
year = {2021}
}
Comments
27 pages. To appear in Trans. Amer. Math. Soc