| 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,2016,37(1):47~54 |
| 单位球上星形映射在极值点处的偏差定理 |
| Distortion Theorem at Extreme Points for Biholomorphic Starlike Mappings on the Unit Ball |
| Received:October 23, 2014 Revised:April 23, 2015 |
| DOI： |
| 中文关键词: 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 |
| 英文关键词:Starlike mapping, Schwarz lemma at the boundary, Distortion theorem of determinants,
Distortion theorem of matrices |
| 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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| 中文摘要: |
| 利用多复变数的边界型Schwarz引理,
建立了$\mathbb{C ^n$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. |
| 英文摘要: |
| 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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