Off-Diagonal Two Weight Bumps for Fractional Sparse Operators
R Rahm - Analysis Mathematica, 2023 - Springer
Analysis Mathematica, 2023•Springer
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 and Volberg and improved by Lacey and Spencer [11] and the “direct comparison
bumps” introduced by Rahm and Spencer [23] and improved by Lerner [14]. Our results are
“sharp” in the sense that they are sharp in various particular cases. A feature is that given the
current machinery and advances, the proofs are almost trivial.
operators to the “off-diagonal” setting. We use the new “entropy bumps” introduced in by
Treil and Volberg and improved by Lacey and Spencer [11] and the “direct comparison
bumps” introduced by Rahm and Spencer [23] and improved by Lerner [14]. Our results are
“sharp” in the sense that they are sharp in various particular cases. A feature is that given the
current machinery and advances, the proofs are almost trivial.
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 and Volberg and improved by Lacey and Spencer [11] and the “direct comparison bumps” introduced by Rahm and Spencer [23] and improved by Lerner [14]. Our results are “sharp” in the sense that they are sharp in various particular cases. A feature is that given the current machinery and advances, the proofs are almost trivial.
Springer
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