Acta Scientiarum Naturalium Universitatis Pekinensis

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A Note on Harmonic Functions

CAI Yongyong1, LI Feng2   

  1. 1LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871; Corresponding Author, E-mail: of Statistics, Capital University of Economics and Business, Beijing,100070
  • Received:2006-07-03 Online:2007-05-20 Published:2007-05-20



  1. 1 北京大学数学科学学院,北京,100871; 通讯作者, E-mail:; 2 首都经济贸易大学统计学系,北京,10007

Abstract: An extension form of Liouville's theorem about analytic functions for general harmonic functions is proved.

Key words: Liouville's theorem, entire function, Harnack inequality

摘要: 证明复变函数中的刘维尔定理在调和函数中的一种推广。

关键词: 刘维尔定理, 整函数, Harnack不等式

CLC Number: