Two Matrix Weighted Inequalities for Commutators with Fractional Integral Operators
Classical Analysis and ODEs
2021-01-29 v1
Abstract
In this paper we prove two matrix weighted norm inequalities for the commutator of a fractional integral operator and multiplication by a matrix symbol. More precisely, we extend the recent results of the second author, Pott, and Treil on two matrix weighted norm inequalities for commutators of Calderon-Zygmund operators and multiplication by a matrix symbol to the fractional integral operator setting. In particular, we completely extend the fractional Bloom theory of Holmes, Rahm, and Spencer to the two matrix weighted setting with a matrix
Cite
@article{arxiv.2101.12082,
title = {Two Matrix Weighted Inequalities for Commutators with Fractional Integral Operators},
author = {Roy Cardenas and Joshua Isralowitz},
journal= {arXiv preprint arXiv:2101.12082},
year = {2021}
}
Comments
18 pages, no figures, submitted