| 多复变数Bloch映照的偏差定理 |
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| 引用本文： | 王建飞,徐辉明.多复变数Bloch映照的偏差定理[J].浙江师范大学学报(自然科学版),2008,31(3):265-269. |
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| 作者姓名： | 王建飞 徐辉明 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华321004 |
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| 基金项目： | 浙江省教育厅科学研究计划项目 |
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| 摘 要： | 利用从属引理研究了单位球上的Bloch映照的偏差定理；用统一的方法得到了一些Bloch映照子族的偏差定理，进而得到了像域中包含最大的单叶球半径的一个下界估计；推广了单位球上的一些已有结果，同时也把单变量中的偏差定理推广到多复变数中。
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| 关 键 词： | 偏差定理 Bloch映照 单叶球 从属引理 全纯映照 |
The distortion theorems of Bloch mappings in several complex variables |
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| WANG Jianfei,XU Huiming.The distortion theorems of Bloch mappings in several complex variables[J].Journal of Zhejiang Normal University Natural Sciences,2008,31(3):265-269. |
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| Authors: | WANG Jianfei XU Huiming |
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| Institution: | ( College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China) |
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| Abstract: | The distortion theorems of Bloch mappings defined in the unit ball were studied by making use of subordination lemma. The theorems were established from a unified perspective, which enabled us to obtain a lower bound estimate for the radius of the largest univalent ball in the image. The distortion theorems gave the generalizations of the results on the unit ball in C^n. Moreover, these results extended some known results in one complex variable to higher dimensions. |
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| Keywords: | distortion theorem Bloch mapping univalent ball subordination lemma holomorphic mappings |
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