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| 基于角域对数导数意义下区域的单叶性内径 | |
| 引用本文： | 郭辉,冯小高,崔泽建.基于角域对数导数意义下区域的单叶性内径[J].深圳大学学报(理工版),2008,25(4). |
| 作者姓名： | 郭辉 冯小高 崔泽建 |
| 作者单位： | 1. 深圳大学数学与计算科学学院,深圳,518060 2. 深圳大学数学与计算科学学院,深圳518060;西华师范大学数学与信息学院,南充637002 3. 西华师范大学数学与信息学院,南充,637002 |
| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
| 摘 要： | 研究对数导数意义下区域的单叶性内径.以角域为基础,给出对数导数意义下区域的单叶性内径下界的两个公式.借助Becker和Pommerenke给出的在右半平面的非单叶函数,获得对数导数意义下区域的单叶性内径上界估计.最后给出关于椭圆的拟共形反射. |
| 关 键 词： | 万有Teichmüller空间 对数导数 单叶性内径 拟共形反射 Poincaèr度量 |
The inner radius of univalence in the sense of pre-Schwarzian derivative based on angular domain |
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| GUO Hui,FENG Xiao-gao,CUI Ze-jian.The inner radius of univalence in the sense of pre-Schwarzian derivative based on angular domain[J].Journal of Shenzhen University(Science &engineering),2008,25(4). | |
| Authors: | GUO Hui FENG Xiao-gao CUI Ze-jian |
| Abstract: | The inner radius of univalence of domains in the sense of pre-Schwarzian derivative was studied.Two general formulas for the lower bound of inner radius in the sense of pre-Schwarzian derivative based on angular domain were established.By means of one holomorphic non-univalent function given by Becker and Pommerenke,one formula for the upper bound of the inner radius was obtained.The quasiconformal reflection for the ellipse was given at the end. |
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