Off-Diagonal Two Weight Bumps for Fractional Sparse Operators
Classical Analysis and ODEs
2021-05-26 v2
Abstract
In this paper, we continue some recent work on two weight boundedness of sparse operators to the "off-diagonal" setting. We use the new "entropy bumps" introduced in by Treil-Volberg ([21]) and improved by Lacey-Spencer ([9]) and the "direct comparison bumps" introduced by Rahm-Spencer ([19]) and improved by Lerner ([10]). Our results are "sharp" in the sense that they are sharp in various particular cases. A feature is that given the current machinery, the proofs are almost trivial.
Keywords
Cite
@article{arxiv.2101.02123,
title = {Off-Diagonal Two Weight Bumps for Fractional Sparse Operators},
author = {Rob Rahm},
journal= {arXiv preprint arXiv:2101.02123},
year = {2021}
}
Comments
References added; mistakes/typos corrected