ON THE MEAN-VALUE PROPERTY OF POLYHARMONIC FUNCTIONS

被引：3

|

作者：

Dalmasso, Robert ^{[1
]}

机构：

[1] Tour IRMA, Equipe EDP, Lab Jean Kuntzmann, F-38041 Grenoble 9, France

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2010年 / 47卷 / 01期

关键词：

Polyharmonic functions; mean-value property; Pizzetti formula; HARMONIC-FUNCTIONS;

D O I：

10.1556/SScMath.2009.1117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a converse of the mean-value property for polyharmonic functions: our result extends a theorem established by Kuran for harmonic functions.

引用

收藏

页码：113 / 117

页数：5

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