| 多复变量的K-拟共形映射 |
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| 引用本文： | Gamaliel J.Y,陈怀惠. 多复变量的K-拟共形映射[J]. 数学学报, 2003, 46(2): 317-320. DOI: cnki:ISSN:0583-1431.0.2003-02-012 |
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| 作者姓名： | Gamaliel J.Y 陈怀惠 |
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| 作者单位： | 南京师范大学数学系,南京,210097 |
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| 基金项目： | 国家自然科学基金资助项目，江苏省自然科学基金资助项目 |
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| 摘 要： | 本文研究Cn里的单位球B到Cn里的K-拟共形全纯映射.证明的最后结果是:若f是B到Cn里的K-拟共形全纯映射,满足det(f'(0))=1,则f(B)包含一个半径至少是(CnK)1-n∫01(1+t)N-1/(1-t)2exp{-(n+1)t/1-t}dt的单叶球,其中Cn>1是只依赖于n的常数,当n→∞时,Cn→(10)~(1/2).
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| 关 键 词： | K-拟共形全纯映射 Bloch常数 |
| 文章编号： | 0583-1431(2003)02-0317-04 |
| 修稿时间： | 1998-06-24 |
On the Bloch Condtaut for K-Quasiconformal Mappings in Several Complex Variables |
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| Gamaliel J.Y. On the Bloch Condtaut for K-Quasiconformal Mappings in Several Complex Variables[J]. Acta Mathematica Sinica, 2003, 46(2): 317-320. DOI: cnki:ISSN:0583-1431.0.2003-02-012 |
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| Authors: | Gamaliel J.Y |
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| Affiliation: | J. Y. Gamaliel Huai Hui CHEN (Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China) |
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| Abstract: | This paper study the Bloch constant for K-quasiconformal holomorphic mappings of the unit ball B of Cn. The final result we prove is: If f is a K-quasiconformal holomorphic mappings of the unit ball B of Cn such that det (f'(0)) = 1, then f(B)contains a schlicht ball of radius at least (CnK)1-n f01(1+t)n-1/(1-t)2 exp {-(n+1)t/1-t}dt where Cn > 1 is a constant depending on n only, and Cn→ 10 as n→∞. |
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| Keywords: | K-quasiconformal holomorphic mapping Bloch constant |
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