Besov空间、Schatten类和量化导数的加权形式

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-11-15 DOI:10.1007/s10476-023-0246-y

Z. Gong, J. Li, B. D. Wick

引用次数: 0

摘要

本文建立了加权L2空间上Riesz变换对易子的Schatten类和端点弱Schatten类估计。作为一种应用，给出了Alain Connes引入的量化导数估计的加权版本，并且最近由lord - mcdonald - sukochevv - zanin和frank - sukochevv - zanin进行了研究。

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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Besov Spaces, Schatten Classes and Weighted Versions of the Quantised Derivative

In this paper, we establish the Schatten class and endpoint weak Schatten class estimates for the commutator of Riesz transforms on weighted L² spaces. As an application a weighted version for the estimate of the quantised derivative introduced by Alain Connes and studied recently by Lord–McDonald–Sukochev–Zanin and Frank–Sukochev–Zanin is provided.

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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.