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

作　　者：刘小松[1] 刘太顺[2] 

机构地区：[1]湛江师范学院数学与计算科学学院,湛江广东524048 [2]湖州师范学院数学系,湖州浙江313000

出　　处：《数学进展》2007年第6期679-685,共7页Advances in Mathematics（China）

基　　金：Project supported by NSFC(No.10571164);SRFDP of Higher Education(No.20050358052);the Doctoral Foundation of Zhanjiang Normal University(No.Z0420).

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.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 Cn or the open unit ball in a complex Banach space, and x = 0 is the zero of order k ＋ 1 of ]（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.

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 

分 类 号：O174.56[理学—数学]