| 超球上的凸映射与星形映射 |
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| 引用本文： | 兰利民.超球上的凸映射与星形映射[J].洛阳师范学院学报,1997(2). |
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| 作者姓名： | 兰利民 |
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| 作者单位： | 洛阳师专!洛阳471022 |
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| 摘 要： | 本文首先给出了Cn中单位超球上正规化双全纯映射的凸性判据和凸映射的齐次项模估计的简单分析证明，然后讨论了星形映射的二次项在z方向的投影的模估计．
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| 关 键 词： | 凸映射 星形映射 Schwarz引理 |
On Convex Mappings and Starlike Mappings in the Unit Ball |
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| Lan Limin.On Convex Mappings and Starlike Mappings in the Unit Ball[J].Journal of Luoyang Teachers College,1997(2). |
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| Authors: | Lan Limin |
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| Abstract: | In this paper we firstiy give a simple analytic proof to a convexity criterion of normalized biholomorphic mappings and a proof to the sharp estimation for the module of homogeneous terms of convex mappings, in the ball of Cn. Then we discuss the module estimation for the projection of the quadratic term, for starlike mappings,in the z-direction. |
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| Keywords: | Convex Mappings Starlike Mappings Schwarz lemma |
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