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Triangulation extensions of self-homeomorphisms of the real line
Qi, Yi1,2; Zhong, Yumin3
2017-04-01
Source PublicationKYOTO JOURNAL OF MATHEMATICS
ISSN2156-2261
Volume57Issue:1Pages:1-15
AbstractFor every sense-preserving self-homeomorphism of the real axis, Hubbard constructed an extension that is a self-homeomorphism of the upper half-plane by triangulation. It is natural to ask if such extensions of quasisymmetric homeomorphisms of the real axis are all quasiconformal. Furthermore, for what sense-preserving self-homeomorphisms are such extensions David mappings? In this article, a sufficient and necessary condition for such extensions to be quasiconformal and a sufficient condition for such extensions to be David mappings are given.
DOI10.1215/21562261-3664950
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000394475300001
PublisherDUKE UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24860
Collection中国科学院数学与系统科学研究院
Affiliation1.Beihang Univ, Sch Math & Syst Sci, Beijing, Peoples R China
2.Beihang Univ, LIMB, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Qi, Yi,Zhong, Yumin. Triangulation extensions of self-homeomorphisms of the real line[J]. KYOTO JOURNAL OF MATHEMATICS,2017,57(1):1-15.
APA Qi, Yi,&Zhong, Yumin.(2017).Triangulation extensions of self-homeomorphisms of the real line.KYOTO JOURNAL OF MATHEMATICS,57(1),1-15.
MLA Qi, Yi,et al."Triangulation extensions of self-homeomorphisms of the real line".KYOTO JOURNAL OF MATHEMATICS 57.1(2017):1-15.
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