Off-Diagonal Two Weight Bumps for Fractional Sparse Operators

IF 0.6 3区数学 Q3 MATHEMATICS

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

R. Rahm

引用次数: 1

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.

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分数阶稀疏算子的非对角线两个权凸

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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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.