Criteria for (sub-)harmonicity and continuation of (sub-)harmonic functions

被引：11
|
作者：
Khabibullin, BN
机构：
[1] Bashkir State University,
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2003年 / 44卷 / 04期
关键词：
harmonic function; subharmonic function; Jensen measure; Arens-Singer measure;
D O I：
10.1023/A:1024796809786
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain criteria for harmonicity and subharmonicity of a function in a domain in R(d), d greater than or equal to 2, in terms of special Arens-Singer and Jensen measures. We also establish a criterion for (sub-)harmonicity of a delta-subharmonic function in terms of the associated Riesz charge and special Arens-Singer and Jensen functions. To this end, we use the theorem of this article on continuation of (sub-)harmonic functions to polar sets.
引用
收藏
页码：713 / 728
页数：16
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