基于角域对数导数意义下区域的单叶性内径  

The inner radius of univalence in the sense of pre-Schwarzian derivative based on angular domain

作　　者：郭辉[1] 冯小高[1,2] 崔泽建[2] 

机构地区：[1]深圳大学数学与计算科学学院,深圳518060 [2]西华师范大学数学与信息学院,南充637002

出　　处：《深圳大学学报（理工版）》2008年第4期437-440,共4页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目(10371078);广东省自然科学基金资助项目(04009797)

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.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.

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 

分 类 号：O174.55[理学—数学]