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The properties of quasisymmetric mappings in metric spaces.

Authors :
Liu, Hongjun
Huang, Xiaojun
Source :
Journal of Mathematical Analysis & Applications. Mar2016, Vol. 435 Issue 2, p1591-1606. 16p.
Publication Year :
2016

Abstract

In this paper, we mainly consider the relationship between the coarsely quasihyperbolic mappings and the quasisymmetric mappings, and show that a homeomorphism is a coarsely quasihyperbolic mapping which implies that it is quasisymmetric in the quasihyperbolic metric between two suitable metric spaces. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*QUASISYMMETRIC groups
*MATHEMATICAL mappings
*METRIC spaces
*HOMEOMORPHISMS
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
0022247X
Volume :
435
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
111322279
Full Text :
https://doi.org/10.1016/j.jmaa.2015.11.035
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