On the Domain of Constancy of the Sign of a Harmonic Function in the Unit Disk with Additional Conditions on the Boundary

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-03-17 DOI:10.1134/S1061920823010077

T. Yu. Semenova

引用次数: 0

Abstract

An estimate for the domain of constant sign for a function harmonic in the unit disk is obtained under the condition that the function is represented on the boundary of the circle as a sine series with monotonic coefficients.

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边界上有附加条件的单位圆盘上调和函数符号的恒常性定域

在圆的边界上以单调系数的正弦级数表示的条件下，得到了单位圆盘上调和函数的常符号定义域的估计。

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

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.

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