双曲区域上的Schottky定理  

Schottky’s theorem on hyperbolic regions

作　　者：郑建华[1] 龙见仁 ZHENG Jianhua;LONG Jianren(Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China;School of Mathematical Sceiences,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]清华大学数学科学系,北京100084 [2]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2022年第1期1-5,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金(11861023);贵州省科技计划基金(黔科合平台人才[2018]5769-05号)。

摘　　要：利用双曲度量和万有覆盖考虑了一般双曲区域上的Schottky定理,获得了几个结果,使得Schottky定理更方便于一般双曲区域上的作用。作为一个应用,确立了亚纯函数具有有限下级的一个充分条件。In this paper, Schottky’s theorem on general hyperbolic regions is considered by using hyperbolic metric and universal covering map. Several results are obtained, which make Schottky’s theorem more convenient to be applied to the general hyperbolic regions. As an application, we establish a sufficient condition for meromorphic functions to have finite lower order.

关 键 词：解析函数 SCHOTTKY定理 双曲度量 万有覆盖 

分 类 号：O174[理学—数学]