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	On criteria for extremality of Teichmuller mappings
	Yao, GW
	2004
关键词	Hamilton sequence Teichmuller mapping extremality HAMILTON SEQUENCES CONSTRUCTION MAPS
英文摘要	Let f be a Teichmuller self-mapping of the unit disk Delta corresponding to a holomorphic quadratic differential phi. If phi satisfies the growth condition A(r, phi) = integralintegral(\jz\< r) &VERBAR;φ&VERBAR;dxdy = O((1 - r)(-s)) (as r &RARR; 1), for any given s > 0, then f is extremal, and for any given a 2 ( 0; 1), there exists a subsequence {n(k)} of N such that {phi(a(1/2nk)z)/integralintegral(Delta)\phi(a(1/2nk)z)\dxdy} is a Hamilton sequence. In addition, it is shown that there exists ' with bounded Bers norm such that the corresponding Teichmuller mapping is not extremal, which gives a negative answer to a conjecture by Huang in 1995.; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; 9; 2647-2654; 132
语种	英语
出处	SCI
出版者	proceedings of the american mathematical society
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/400585]
专题	数学科学学院
推荐引用方式 GB/T 7714	Yao, GW. On criteria for extremality of Teichmuller mappings. 2004-01-01.

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