Holomorphic Mappings of a Strip into Itself with Bounded Distortion at Infinity

被引：7

作者：

Goryainov, V. V. ^{[1
]}

机构：

[1] State Univ, Moscow Inst Phys & Technol, Inst Per 9, Dolgoprudnyi 141701, Moscow Oblast, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2017年 / 298卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S0081543817060074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of holomorphic self-mappings of a strip which is symmetric with respect to the real axis is studied. It is required that the mappings should boundedly deviate from the identity transformation on the real axis. Distortion theorems for this class of functions are obtained, and domains of univalence are found that arise for certain values of the parameter characterizing the deviation of the mappings from the identity transformation on the real axis.

引用

页码：94 / 103

页数：10

共 12 条

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