QUASIHYPERBOLIC METRIC AND QUASISYMMETRIC MAPPINGS IN METRIC SPACES

CSpace > 数学所

	QUASIHYPERBOLIC METRIC AND QUASISYMMETRIC MAPPINGS IN METRIC SPACES
	Huang, Xiaojun 1,2; Liu, Jinsong3,4
	2015-09-01
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	367 期号:9 页码:6225-6246
摘要	In this paper, we prove that the quasihyperbolic metrics are quasi-invariant under a quasisymmetric mapping between two suitable metric spaces. Meanwhile, we also show that quasi-invariance of the quasihyperbolic metrics implies that the corresponding map is quasiconformal. At the end of this paper, as an application of these theorems, we prove that the composition of two quasisymmetric mappings in metric spaces is a quasiconformal mapping.
语种	英语
资助项目	NSF of China[11471318] ; Natural Science Foundation Project of Chongqing[CSTC] ; Natural Science Foundation Project of Chongqing[2011BB0055] ; NSFC[11471318]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000357046600008
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20219
专题	数学所
通讯作者	Huang, Xiaojun
作者单位	1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China 2.Math Sci Res Inst Chongqing, Chongqing 401331, Peoples R China 3.Chinese Acad Sci, HUA Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Xiaojun,Liu, Jinsong. QUASIHYPERBOLIC METRIC AND QUASISYMMETRIC MAPPINGS IN METRIC SPACES[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2015,367(9):6225-6246.
APA	Huang, Xiaojun,&Liu, Jinsong.(2015).QUASIHYPERBOLIC METRIC AND QUASISYMMETRIC MAPPINGS IN METRIC SPACES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,367(9),6225-6246.
MLA	Huang, Xiaojun,et al."QUASIHYPERBOLIC METRIC AND QUASISYMMETRIC MAPPINGS IN METRIC SPACES".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 367.9(2015):6225-6246.