关于极小曲面的Edrei-Goldberg-Ostrovskii定理

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-09-06 DOI:10.1007/s10476-023-0230-6

A. Kowalski, I. I. Marchenko

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引用次数: 0

摘要

本文致力于贝肯巴赫亚纯极小曲面理论的发展。我们考虑亚纯极小曲面的分离极大点的个数与Baernstein的T*-函数之间的关系。推广了Edrei、Goldberg、Heins、Ostrovski、Wiman的结果。我们还举例说明了所获得的估计是尖锐的。

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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On the Edrei–Goldberg–Ostrovskii Theorem for Minimal Surfaces

This paper is devoted to the development of Beckenbach’s theory of the meromorphic minimal surfaces. We consider the relationship between the number of separated maximum points of a meromorphic minimal surface and the Baernstein’s T*-function. The results of Edrei, Goldberg, Heins, Ostrovskii, Wiman are generalized. We also give examples showing that the obtained estimates are sharp.

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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.