The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces
Functional Analysis
2018-01-31 v2
Abstract
We discuss the Hardy-Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a discrete version of the Fefferman-Stein inequality. As a corollary, we also obtain the boundedness of some Riesz potentials on discrete Morrey spaces.
Keywords
Cite
@article{arxiv.1801.05550,
title = {The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces},
author = {Hendra Gunawan and Christopher Schwanke},
journal= {arXiv preprint arXiv:1801.05550},
year = {2018}
}