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

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.