Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 23-40

LOCAL PROPERTIES OF QUASIHYPERBOLIC MAPPINGS IN METRIC SPACES

Xiaojun Huang, Hongjun Liu and Jinsong Liu

Chongqing University, College of Mathematics and Statistics
Chongqing 401331, P.R. China; hxj 'at' cqu.edu.cn

Chongqing University, College of Mathematics and Statistics
Chongqing 401331, P.R. China; liuhongjun1121 'at' 126.com

Chinese Academy of Sciences, HUA Loo-Keng Key Laboratory of Mathematics
Beijing 100190, P.R. China; liujsong 'at' math.ac.cn

Abstract. In this paper, we consider Väisälä's problem and obtain that a homeomorphism which is both semi-local M-QH and semi-local η-QS between two suitable metric spaces is an M₁-QH map.

2010 Mathematics Subject Classification: Primary 30C65.

Key words: Quasisymmetry, quasihyperbolic metric, quasiconvex metric space.

Reference to this article: X. Huang, H. Liu and J. Liu: Local properties of quasihyperbolic mappings in metric spaces. Ann. Acad. Sci. Fenn. Math. 41 (2016), 23-40.

Full document as PDF file

doi:10.5186/aasfm.2016.4106