Spectral Asymptotics of the Cauchy Operator and its Product with Bergman’s Projection on a Doubly Connected Domain

IF 1 3区数学 Q1 MATHEMATICS

Potential Analysis Pub Date : 2024-04-19 DOI:10.1007/s11118-024-10139-3

Djordjije Vujadinović

引用次数: 0

Abstract

We found the exact asymptotics of the singular numbers for the Cauchy transform and its product with Bergman’s projection over the space \(L^{2}(\Omega ),\) where \(\Omega \) is a doubly-connected domain in the complex plane.

查看原文本刊更多论文

双连域上考奇算子及其与伯格曼投影的乘积的谱渐近性

我们发现了 Cauchy 变换的奇异数及其与伯格曼投影在空间 \(L^{2}(\Omega ),\) 上的乘积的精确渐近线，其中 \(\Omega \) 是复平面上的双连域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Potential Analysis 数学-数学

CiteScore

2.20

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original papers dealing with potential theory and its applications, probability theory, geometry and functional analysis and in particular estimations of the solutions of elliptic and parabolic equations; analysis of semi-groups, resolvent kernels, harmonic spaces and Dirichlet forms; Markov processes, Markov kernels, stochastic differential equations, diffusion processes and Levy processes; analysis of diffusions, heat kernels and resolvent kernels on fractals; infinite dimensional analysis, Gaussian analysis, analysis of infinite particle systems, of interacting particle systems, of Gibbs measures, of path and loop spaces; connections with global geometry, linear and non-linear analysis on Riemannian manifolds, Lie groups, graphs, and other geometric structures; non-linear or semilinear generalizations of elliptic or parabolic equations and operators; harmonic analysis, ergodic theory, dynamical systems; boundary value problems, Martin boundaries, Poisson boundaries, etc.