关于 Maz'ya-Verbitsky 容性不等式的说明

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2024-07-03 DOI:10.1007/s10476-024-00037-6

K. H. Ooi

引用次数: 0

摘要

我们用贝塞尔势证明了 Maz'ya-Verbitsky 容性不等式。证明主要依赖于局部化技术。在整个证明过程中，还将得到几类克尔曼-索耶条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A note on Maz'ya-Verbitsky capacitary inequalities

We present a proof of Maz'ya-Verbitsky capacitary inequalities in terms of Bessel potentials. It will be seen that the proof mainly relies on the localization techniques. Several types of Kerman-Sawyer conditions will be obtained throughout the proof as well.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.