Criteria for (Sub-)Harmonicity and Continuation of (Sub-)Harmonic Functions

被引：0
|
作者：
B. N. Khabibullin
机构：
[1] Bashkir State University,
来源：
Siberian Mathematical Journal | 2003年 / 44卷
关键词：
harmonic function; subharmonic function; Jensen measure; Arens–Singer measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain criteria for harmonicity and subharmonicity of a function in a domain in Rd, d≥2, in terms of special Arens–Singer and Jensen measures. We also establish a criterion for (sub-)harmonicity of a δ-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.
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页码：713 / 728
页数：15
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