The Hadamard Theorem and Borel-Carathéodory Theorem on Riemann Surfaces  

作　　者：Hui Ping ZHANG 

机构地区：[1]School of Information,Renmin University of China

出　　处：《Acta Mathematica Sinica,English Series》2006年第3期945-950,共6页数学学报（英文版）

基　　金：Supported by NSFC 10501052

摘　　要：In this paper, we first define a kind of pseudo-distance function and annulus domain on Riemann surfaces, then prove the Hadamard Theorem and the Borel-Carathéodory Theorem on any Riemann surfaces.In this paper, we first define a kind of pseudo-distance function and annulus domain on Riemann surfaces, then prove the Hadamard Theorem and the Borel-Carathéodory Theorem on any Riemann surfaces.

关 键 词：（Sub）harmonic functions Pseudo-distance function Annulus domain Analytic function 

分 类 号：O174.51[理学—数学]