The Hadamard Theorem and Borel-Carathéodory Theorem on Riemann Surfaces

详细信息    查看全文 | 推荐本文 |

英文篇名：The Hadamard Theorem and Borel-Carathéodory Theorem on Riemann Surfaces 作者：Hui ; Ping ; ZHANG 英文作者：Hui Ping ZHANG School of Information,Renmin University of China,Beijing 100080,P.R.China 英文关键词：(Sub)harmonic functions;;Pseudo-distance function;;Annulus domain;;Analytic function 中文刊名：ACMS 英文刊名：数学学报(英文版) 机构：School of Information,Renmin University of China; 出版日期：2006-05-15 出版单位：Acta Mathematica Sinica(English Series) 年：2006 期：v.22 基金：Supported by NSFC 10501052 语种：英文; 页：ACMS200603034 页数：6 CN：03 ISSN：11-2039/O1 分类号：309-314

摘要

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

引文

[1] Ahlfors,L.V.:Complex analysis,McGraw-Hill Book,1979(in Chinese)
    [2] Lang,S.:Complex analysis,Springer,New York,1993
    [3] Wang,S.K.,Zhao,D.:A Hadamard theorem on algebraic Curves.Acta Mathematica Sinca,Chinese Series,45(6) ,1051-1056,(2002)
    [4] Krantz,S.:Function Theory of several complex Variables,John Wiley & Sons.Inc.,1983
    [5] Lu,Y.N.,Zhang,X.L.:Riemann surface,Science Press,Beijing,1991(in Chinese)
    [6] Farkas,H.M.,Kra,I.:Riemann surfaces,Second Edition(GTM 71) ,Springer-Verlag,Berlin,Heidelberg,New York,1980
    [7] Wu,H.X.,Lu,Y.N.,Chen,Z.H.:Introduction for compact Riemann surfaces,Science Press,Beijing,1983(in Chinese)
    [8] Forster,O.:Lectures on Riemann surfaces,Springer-Verlag,Berlin,Heidelberg,New York,1937
    [9] Griffiths,P.:Alegebric Curves,Beijing,1985(in Chinese)
    [10] Gunning,R.C.:Lectures on Riemann surfaces,Priceton U.P.,Princeton,NJ,1966