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	A note on extremal quasi-conformal mappings
	Li Zhong
	2010
关键词	quasi-conformal mappings extremal quasi-conformal mappings locally extremal quasi-conformal mappings QUASICONFORMAL MAPPINGS UNIQUE EXTREMALITY
英文摘要	An extremal quasi-conformal mapping f of a domain D is said to be of non-landslide type if the set E(f) (delta) := {z is an element of D : vertical bar mu(f)(z)vertical bar <= parallel to mu parallel to(infinity) - delta} has no interior points for any delta > 0. In this paper, we construct a quasi-conformal mapping f of the unit disc D such that its Teichmuller equivalence class [f] contains infinitely many extremal mappings of non-landslide type. The relation between extremal mappings of non-landslide type and locally extremal mappings is also discussed.; Mathematics, Applied; Mathematics; SCI(E); 2; ARTICLE; 1; 63-70; 53
语种	英语
出处	SCI
出版者	science china mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157688]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li Zhong. A note on extremal quasi-conformal mappings. 2010-01-01.

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