On the Edrei–Goldberg–Ostrovskii Theorem for Minimal Surfaces

被引：0
|
作者：
A. Kowalski
I. I. Marchenko
机构：
[1] University of Szczecin,Institute of Mathematics
来源：
Analysis Mathematica | 2023年 / 49卷
关键词：
minimal surface; defect; deviation; subharmonic function; Baern-stein’s ; *-function; maximum point; Nevanlinna theory; primary 53A10; 30D35; secondary 30D30;
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摘要：
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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页码：807 / 823
页数：16
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