Relative Quasisymmetry and Quasim(o)bius Mappings in Quasi-metric Spaces

• 作者: Hong Jun LIU Xiao Jun HUANG Yue FAN
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2022,（3）
• 页码范围: 547-559
• 页数: 13页
• 语种: 英文

摘要

The aim of this paper is to investigate the relationship between relative quasisymmetry and quasim(o)bius in quasi-metric spaces,and show that a homeomorphism f is η-quasisymmetric relative to A if and only if it is θ-quasim(o)bius relative to A between two both bounded quasi-metric spaces,where A (∈) X and X is a quasi-metric space.