The properties of quasisymmetric mappings in metric spaces

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• 作者：Hongjun Liu ; ^{hongjunliu@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xiaojun Huang¹ ; ^{hxj@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Quasisymmetry ; Coarsely quasihyperbolic homeomorphism ; Free quasiconformality ; Quasihyperbolic metric ; John-ball domain ; Quasiconvex metric space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 March 2016
• 年：2016
• 卷：435
• 期：2
• 页码：1591-1606
• 全文大小：379 K

文摘

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.