AN AREA THEOREM FOR HARMONIC MAPPINGS WITH NONZERO POLE HAVING QUASICONFORMAL EXTENSIONS

被引：3

作者：

Bhowmik, Bappaditya ^{[1
]}

Satpati, Goutam ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, India

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 09期

关键词：

Univalent mappings; meromorphic mappings; quasiconformal mappings; harmonic mappings;

D O I：

10.1090/proc/16850

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Sigma(k )(H) ( p) be the class of sense-preserving univalent harmonic mappings defined on the open unit disk D of the complex plane with a simple pole at z = p is an element of (0 ,1) that have k-quasiconformal extensions (0 <= k < 1) onto the extended complex plane. In this article, we obtain an area theorem for this class of functions.

引用

页码：3881 / 3891

页数：11

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