Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 45, 2020, 199-213

AN EXTENSION PROPERTY OF QUASIMÖBIUS MAPPINGS IN METRIC SPACES

Tiantian Guan, Manzi Huang and Xiantao Wang

Shantou University, Department of Mathematics
Shantou, Guangdong 515063, P.R. China; 17ttguan 'at' stu.edu.cn

Hunan Normal University, School of Mathematics and Statistics, MOE-LCSM
Changsha, Hunan 410081, P.R. China, and
Qufu Normal University, School of Mathematical Science
Qufu, Shandong 273165, P.R. China; mzhuang 'at' hunnu.edu.cn

Hunan Normal University, School of Mathematics and Statistics, MOE-LCSM
Changsha, Hunan 410081, P.R. China; xtwang 'at' hunny.edu.cn

Abstract. In 1991, Väisälä discussed the extension property of quasisymmetric mappings in Banach spaces. In 2009, Haïssinsky got an extension property of quasisymmetric mappings in metric spaces. The purpose of this paper is to establish an extension property of quasimöbius mappings in metric spaces.

2010 Mathematics Subject Classification: Primary 30F45; Secondary 30C65, 30L05, 30L10.

Key words: Quasimöbius mapping, quasiconvexity, metric space.

Reference to this article: T. Guan, M. Huang and X. Wang: An extension property of quasimöbius mappings in metric spaces. Ann. Acad. Sci. Fenn. Math. 45 (2020), 199-213.

Full document as PDF file

https://doi.org/10.5186/aasfm.2020.4501