Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (5): 1127-1135.

    Next Articles

Freely Quasiconformal Mappings in Quasiconvex Metric Spaces

Chai Mengcen(),Dai Yuxia*()   

  1. Faculty of Mathematics and Statistic, Hubei University & Hubei Key Laboratory of Applied Mathematics, Wuhan 430062
  • Received:2022-12-26 Revised:2024-03-06 Online:2024-10-26 Published:2024-10-16
  • Supported by:
    NSFC(11301162);Hubei Provincial Department of Education(D20211005)

Abstract:

In this paper, we study freely quasiconformal mappings in quasiconvex metric spaces. It is proved that freely quasiconformal mappings and rough quasihyperbolic mappings in quasiconvex metric spaces are equivalent, and the quasisymmetric properties of freely quasiconformal mapping in quasiconvex metric spaces are obtained.

Key words: Quasihyperbolic distance, Freely quasiconformal mapping, Quasisymmetric mapping

CLC Number: 

  • O177.99
Trendmd