A Note on Harmonic Functions

CAI Yongyong¹, LI Feng²

¹LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871; Corresponding Author, E-mail: yycai@pku.edu.cn²Department of Statistics, Capital University of Economics and Business, Beijing,100070

蔡勇勇¹,李峰²

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:

CAI Yongyong,LI Feng. A Note on Harmonic Functions[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

蔡勇勇,李峰. 关于调和函数的一个注记[J]. 北京大学学报（自然科学版）.

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