A CHARACTERIZATION OF POLYHARMONIC FUNCTIONS

被引：2

作者：

Lysik, G. ^{[1
,2
]}

机构：

[1] Jan Kochanowski Univ, PL-25406 Kielce, Poland

[2] PAS, Inst Math, Warsaw, Poland

来源：

ACTA MATHEMATICA HUNGARICA | 2015年 / 147卷 / 02期

关键词：

polyharmonic function; integral mean; metric measure space; MEAN-VALUE PROPERTY;

D O I：

10.1007/s10474-015-0551-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of polyharmonic functions in terms of integral means. The characterization justifies the introduction of a definition of polyharmonic functions on metric measure spaces.

引用

页码：386 / 395

页数：10

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