Is there always an extremal teichmuller mapping?

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	Is there always an extremal teichmuller mapping?
	Yao, GW
	2004
发表期刊	JOURNAL D ANALYSE MATHEMATIQUE
ISSN	0021-7670
卷号	94 页码:363-375
摘要	Given a quasisymmetric self-homeomorphism h of the unit circle S-1, let Q(h) be the set of all quasiconformal mappings with the boundary correspondence h. In [1], it was shown that there exists h for which no extremal extension in Q(h) as a Teichmuller mapping is possible. This disproved some conjectures of long standing. In the example constructed there, the boundary correspondence has a single extremal quasiconformal extension. We show that even when there are infinitely many extremal extensions of the boundary values, it may still happen that none of the extensions is a Teichmuller mapping. An infinitesimal version of this result is also obtained.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000227574600016
出版者	MAGNES 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/19275
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, GW
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yao, GW. Is there always an extremal teichmuller mapping?[J]. JOURNAL D ANALYSE MATHEMATIQUE,2004,94:363-375.
APA	Yao, GW.(2004).Is there always an extremal teichmuller mapping?.JOURNAL D ANALYSE MATHEMATIQUE,94,363-375.
MLA	Yao, GW."Is there always an extremal teichmuller mapping?".JOURNAL D ANALYSE MATHEMATIQUE 94(2004):363-375.