| 准凸映照齐次展开式的精细估计 |
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| 引用本文： | 刘小松,刘太顺. 准凸映照齐次展开式的精细估计[J]. 数学进展, 2007, 36(6): 679-685 |
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| 作者姓名： | 刘小松 刘太顺 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金;湛江师范学院校科研和教改项目 |
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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.
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| 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 zero of order κ 1 |
| 文章编号： | 1000-0917（2007）06-0679-07 |
| 收稿时间： | 2005-10-24 |
| 修稿时间： | 2005-10-24 |
The Refining Estimation of Homogeneous Expansion for Quasi-convex Mappings |
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| LIU Xiaosong,LIU Taishun. The Refining Estimation of Homogeneous Expansion for Quasi-convex Mappings[J]. Advances in Mathematics(China), 2007, 36(6): 679-685 |
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| Authors: | LIU Xiaosong LIU Taishun |
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| 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. |
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| Keywords: | extremal mapping quasi-convex mapping refining extimationof homogeneous expansion |
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