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准凸映照齐次展开式的精细估计(英文)
The Refining Estimation of Homogeneous Expansion for Quasi-convex Mappings

刘小松;刘太顺;
LIU Xiaosong~

湛江师范学院数学与计算科学学院,湖州师范学院数学系 湛江,广东,524048,湖州,浙江,313000
(1,*) LIU Taishun~(2,**) (1.School of Mathematics and Computation Science,Zhanjiang Normal University,Zhanjiang,Guangdong,524048,P.R.China;2.Department of Mathematics,Huzhou Teachers College,Huzhou,Zhejiang,313000,P.R.China

收稿日期: 2007-12-25
出版日期: 2007-12-25

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摘要 本文给出C~n中单位多圆柱上和复Banach空间中单位球上的准凸映照(含A型准凸映照和B型准凸映照)f齐次展开式的精细估计,其中x=0是f(x)-x的k+1阶零点.同时,还讨论了复Banach空间单位球上准凸映照的构造,它为准凸映照齐次展开式的精细估计提供极值映照.
关键词 k+1阶零点极值映照准凸映照齐次展开式的精细估计    
Abstract:In this paper,we give the refining estimation of homogeneous expansion for f,where f is a quasi-convex mapping (include quasi-convex mapping of type A and quasi-convex mapping of type B) defined on the open unit polydisk in C~n or the open unit ball in a complex Banach space, and x=0 is the zero of order k+1 of f(x)-x.In addition to,we also discuss the construction of quasi-convex mappings on the unit ball in a complex Banach space,it provides extremal mappings for the refining estimation of homogeneous expansion for quasi-convex mappings.
Key wordsextremal mapping    quasi-convex mapping    refining estimation of homogeneous expansion
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