Triangular Ratio Metric Under Quasiconformal Mappings in Sector Domains

被引：8
|
作者：
Rainio, Oona [1 ]
Vuorinen, Matti [1 ]
机构：
[1] Univ Turku, Dept Math & Stat, Turku, Finland
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2023年 / 23卷 / 02期
关键词：
Hyperbolic metric; Hyperbolic type metrics; Triangular ratio metric; Quasiconformal maps; Sector domain; LIPSCHITZ-CONDITIONS;
D O I：
10.1007/s40315-022-00447-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The hyperbolic metric and different hyperbolic type metrics are studied in open sector domains of the complex plane. Several sharp inequalities are proven for them. Our main result describes the behavior of the triangular ratio metric under quasiconformal maps from one sector onto another one.
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页码：269 / 293
页数：25
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