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	Convex hull theorem for multiply connected domains in the plane with an estimate of the quasiconformal constant
	Liu Gang ; Wu ShengJian
	2009
关键词	convex hull quasiconformal mapping multiply connected domain CONJECTURE
英文摘要	For any multiply connected domain Omega in R(2), let S be the boundary of the convex hull in H(3) of R(2)\Omega which faces Omega. Suppose in addition that there exists a lower bound l > 0 of the hyperbolic lengths of closed geodesics in Omega. Then there is always a K-quasiconformal mapping from S to Omega, which extends continuously to the identity on partial derivative S = partial derivative Omega, where K depends only on l. We also give a numerical estimate of K by using the parameter l.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 5; 932-940; 52
语种	英语
出处	SCI
出版者	science in china series a mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157724]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu Gang,Wu ShengJian. Convex hull theorem for multiply connected domains in the plane with an estimate of the quasiconformal constant. 2009-01-01.

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