| 多圆柱上双全纯映照的增长定理与掩盖定理 |
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| 引用本文： | 娄增建,张文俊.多圆柱上双全纯映照的增长定理与掩盖定理[J].曲阜师范大学学报,1991(2). |
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| 作者姓名： | 娄增建 张文俊 |
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| 作者单位： | 曲阜师大数学系，河南大学数学系 |
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| 摘 要： | 本文证明了C~n中多圆柱上正规化双全纯星形映照的增长定理与1/4—定理,也证明了正规化双全纯凸映照的增长定理与1/2—定理。而且所有结论均为不可改进的。
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| 关 键 词： | 双全纯映照 星形映照 凸映照 增长定理 掩盖定理 |
The Growth and Koebe 1/4-Theorems for Normalized Biholomorphic Starlike Mappings on Polydisc |
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| Lou Zengjian Zhang Wunjun.The Growth and Koebe 1/4-Theorems for Normalized Biholomorphic Starlike Mappings on Polydisc[J].Journal of Qufu Normal University(Natural Science),1991(2). |
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| Authors: | Lou Zengjian Zhang Wunjun |
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| Institution: | Lou Zengjian Zhang Wunjun |
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| Abstract: | In this paper we show that, for the class of normalized biholomorphie starlike mappings, on the polydise, versions of both the Growth theorem and Koebe 1/4-theorem hold. Specifically, we find all estimations are sharp. |
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| Keywords: | biholomorphic mapping starlike mapping convex mapping Growth theorem Koebe 1/4 theorem |
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