摘要
The aim of this paper is to investigate the relationship between relative quasisymmetry and quasimöbius in quasi-metric spaces,and show that a homeomorphism f isη-quasisymmetric relative to A if and only if it isθ-quasimöbius relative to A between two both bounded quasi-metric spaces,where A⊆X and X is a quasi-metric space.
基金
Supported by National Natural Science Foundation of China(Grant Nos.11671057,11901136)
the Guizhou Provincial Science and Technology Foundation(Grant No.[2020]1Y003)
the Ph D research startup foundation of Guizhou Normal University(Grant No.11904/0517078)。