Two-weight norm inequalities on Morrey spaces
Classical Analysis and ODEs
2014-04-11 v1
Abstract
A description of all the admissible weights similar to the Muckenhoupt class is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are given for the Hardy-Littlewood maximal operator. Necessary and sufficient condition is also verified for the power weights.
Keywords
Cite
@article{arxiv.1404.2692,
title = {Two-weight norm inequalities on Morrey spaces},
author = {Hitoshi Tanaka},
journal= {arXiv preprint arXiv:1404.2692},
year = {2014}
}