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	A problem on the T-0 Teichmuller space
	Li, Zhong
	2017
关键词	The universal Teichmuller space Boundary dilatations The T-0 Teichmuller space QUASI-CONFORMAL MAPPINGS
英文摘要	Let T(Delta) be the universal Teichmuller space and let T-0(Delta) be the subspace of T(Delta) consisting of elements [mu] is an element of T(Delta) with boundary dilatation one. Our main result is that, if mu is an extremal Beltrami differential on Delta with vertical bar vertical bar mu vertical bar vertical bar(infinity) = k not equal 0 and [mu] is an element of T-0(Delta), then [t(mu)] is an element of T-0(Delta) for any t is an element of [0, 1/k). This result answers a problem proposed by Earle, Gardiner and Lakic. Moreover, it is proved that the subspace T-0(0)(Delta) of T-0(Delta) consisting of [mu] is an element of T-0(Delta) with mu vertical bar(U) = 0 where U is a neighborhood of partial derivative Delta is dense in T-0(Delta). With this theorem, we provide a short proof of our main result. (C) 2017 Elsevier Inc. All rights reserved.; National Science Foundation of China [11271216, 11371045]; SCI(E); ARTICLE; 2; 1457-1469; 456
语种	英语
出处	SCI
出版者	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/470350]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Zhong. A problem on the T-0 Teichmuller space. 2017-01-01.

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