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QUASIHYPERBOLIC METRIC AND QUASISYMMETRIC MAPPINGS IN METRIC SPACES
Huang, Xiaojun1,2; Liu, Jinsong3,4
2015-09-01
Source PublicationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9947
Volume367Issue:9Pages:6225-6246
AbstractIn 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.
Language英语
Funding ProjectNSF of China[11471318] ; Natural Science Foundation Project of Chongqing[CSTC] ; Natural Science Foundation Project of Chongqing[2011BB0055] ; NSFC[11471318]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000357046600008
PublisherAMER MATHEMATICAL SOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20219
Collection数学所
Corresponding AuthorHuang, Xiaojun
Affiliation1.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
Recommended Citation
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.
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