| l~p、B~p及内积空间中螺形映照的增长定理与掩盖定理 |
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| 引用本文： | 刘浩,徐兴辰.l~p、B~p及内积空间中螺形映照的增长定理与掩盖定理[J].数学季刊,1992(3). |
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| 作者姓名： | 刘浩 徐兴辰 |
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| 作者单位： | 河南大学，河南大学 开封 475001，开封 475001 |
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| 摘 要： | 本文首先给出l~p空间中单位球上双全纯螺形映照的增长与1/4-定理。作为一个特例,给出B~P上相应结果。其次讨论一般复内积空间上螺形映照的增长及1/4-定理。并证明结论是不可改进的。
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| 关 键 词： | 双全纯映照 螺形映照 Fréchet导数 增长定理 Kōebe1/4-定理 |
The Growth and 1/4-Theorems for Spirallik Maps in l~P, B~P and Inner Product Space |
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| Liu Hao Xu Xingcheng.The Growth and 1/4-Theorems for Spirallik Maps in l~P, B~P and Inner Product Space[J].Chinese Quarterly Journal of Mathematics,1992(3). |
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| Authors: | Liu Hao Xu Xingcheng |
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| Abstract: | The paper is made of two parts.In first part,We give the growth and 1/4-theorems for spiral like maps on the unit ball in l~p.Particularly,corresponding results were given in B~p.In the second part,we give the growth and 1/4-theorems for spirallike maps in an inner product space.We prove that the results is best. |
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| Keywords: | biholomorphic mapping spirallike mapping frechet derivative growth thorem kebe 1/4-thorem |
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