Quasisymmetry of freely quasiconformal mappings in Banach spaces

被引：1
|
作者：
Guan, Tiantian [1 ]
Jiao, Bo [2 ]
Ponnusamy, Saminathan [3 ,4 ]
He, Yuehui [1 ]
机构：
[1] Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China
[2] Xiamen Univ, Sch Informat Sci & Technol, Tan Kah Kee Coll, Zhangzhou 363105, Fujian, Peoples R China
[3] Indian Inst Technol Madras, Dept Math, Chennai 600036, India
[4] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow Ctr Fundamental & Appl Math, Moscow, Russia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 526卷 / 01期
关键词：
Freely quasiconformal mapping; Quasisymmetric mapping; Quasihyperbolic metric; FREE QUASICONFORMALITY;
D O I：
10.1016/j.jmaa.2023.127335
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish several characterizations of freely quasiconformal mappings in Banach spaces in terms of quasisymmetry in the quasihyperbolic metric. This provides a partial solution to an open problem posed by Vaisala. Also, we consider the special case when the control function satisfies eta(t) <= Mt for some M >= 1.(c) 2023 Elsevier Inc. All rights reserved.
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页数：8
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