关于两类Shimizu-Ahlfors特征函数

关于两类Shimizu-Ahlfors特征函数 ON TWO SHIMIZU-AHLFORS CHARACTERISTIC FUNCTIONS 乌兰哈斯 Wulan Hasi 1 first-author 内蒙古师范大学数学系 内蒙古师范大学数学系 Department of Mathematics,Inner Mongolia Normal University Department of Mathematics,Inner Mongolia Normal University 本文研究了单出圆盘内亚纯函数 f 的两类 p 级 Shimizu-Ahlfors 特征函数,对影响这两类特征函数的几个参变量逐一进行了探讨。分别得到了 f 属于某些重要的函数空间如正规函数族,有界特征的函数族,一致有界特征的函数族等的充分必要条件. In this paper we study two Shimizu-Ahlfors charcteristic functions of f meromorphic in the disk D and consider the parameters on which the characteristic functions depend.We give some necessary and sufficient conditions for a meromorphic f to belong to certain important function spaces in terms of the Shimizu-Ahlfors charcteristic functions. 有界特征函数 一致有界特征函数 正规函数 Shimizu-Ahlfors 特征函数 bounded characteristic functions uniformly bounded characteristic functions normal functions Shimizu-Ahlfors characteristic functions O174.52 1992-02-01 2021-04-01 2