分数阶稀疏算子的非对角线两个权凸

Pub Date : 2023-02-08 DOI:10.1007/s10476-023-0204-8

R. Rahm

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引用次数: 1

摘要

在本文中，我们继续了最近关于稀疏算子对“非对角”集的两权有界性的一些工作。我们使用了由Treil和Volberg引入并由Lacey和Spencer[11]改进的新的“熵凸点”，以及由Rahm和Spencer[23]引入并由Lerner[14]改进的“直接比较凸点”。我们的结果是“尖锐的”，因为它们在各种特定情况下都是尖锐的。一个特点是，考虑到当前的机制和进步，证明几乎是微不足道的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Off-Diagonal Two Weight Bumps for Fractional Sparse Operators

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.

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