Is there always an extremal teichmuller mapping? | |
Yao, GW | |
刊名 | JOURNAL D ANALYSE MATHEMATIQUE
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2004 | |
卷号 | 94页码:363-375 |
ISSN号 | 0021-7670 |
英文摘要 | 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 |
出版者 | MAGNES PRESS |
WOS记录号 | WOS:000227574600016 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19274] ![]() |
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. |
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