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arXiv · 2101.02123

Off-Diagonal Two Weight Bumps for Fractional Sparse Operators

Rob Rahm
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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.

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Rob Rahm. 2021-01-06. Off-Diagonal Two Weight Bumps for Fractional Sparse Operators. https://arxiv.org/abs/2101.02123

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