Triangulation extensions of self-homeomorphisms of the real line

doi:10.1215/21562261-3664950

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	Triangulation extensions of self-homeomorphisms of the real line
	Qi, Yi 1,2; Zhong, Yumin 3
	2017-04-01
发表期刊	KYOTO JOURNAL OF MATHEMATICS
ISSN	2156-2261
卷号	57 期号:1 页码:1-15
摘要	For 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.
DOI	10.1215/21562261-3664950
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000394475300001
出版者	DUKE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24860
专题	中国科学院数学与系统科学研究院
通讯作者	Qi, Yi
作者单位	1.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
推荐引用方式 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.