| 单位球上星形映射在极值点处的偏差定理 |
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| 引用本文： | 刘太顺,唐笑敏.单位球上星形映射在极值点处的偏差定理[J].数学年刊A辑(中文版),2016,37(1):47-54. |
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| 作者姓名： | 刘太顺 唐笑敏 |
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| 作者单位： | 湖州师范学院数学系, 浙江\ 湖州 313000.,通讯作者. 湖州师范学院数学系, 浙江\ 湖州 313000. |
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| 基金项目： | 本文受到国家自然科学基金(No.11471111, No.11271124, No.11426104),浙江省自然科学基金(No.LY14A010017, No.LY15A010014)和河北省自然科学基金(No.A2014205069)的资助 |
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| 摘 要： | 利用多复变数的边界型Schwarz引理,建立了C~n中单位球上正规化双全纯星形映射在极值点处的行列式型偏差定理和矩阵型偏差定理.
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| 关 键 词： | 星形映射 边界型Schwarz引理 行列式型偏差定理 矩阵型偏差定理 |
| 收稿时间： | 2014/10/23 0:00:00 |
| 修稿时间： | 2015/4/23 0:00:00 |
Distortion Theorem at Extreme Points for Biholomorphic Starlike Mappings on the Unit Ball |
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| LIU Taishun and TANG Xiaomin.Distortion Theorem at Extreme Points for Biholomorphic Starlike Mappings on the Unit Ball[J].Chinese Annals of Mathematics,2016,37(1):47-54. |
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| Authors: | LIU Taishun and TANG Xiaomin |
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| Institution: | Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang, China. and Corresponding author.,Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang, China. |
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| Abstract: | Applying the Schwarz lemma at the boundary of the unit ball in $\mathbb{C ^n$, the authors
establish the distortion theorems of determinants and of matrices, respectively, at extreme points for
normalized biholomorphic starlike mappings on the unit ball in $\mathbb{C ^n$. |
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| Keywords: | Starlike mapping Schwarz lemma at the boundary Distortion theorem of determinants Distortion theorem of matrices |
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