Balayage of Measures with Respect to (Sub-)Harmonic Functions

被引：2
|
作者：
Khabibullin, B. N. [1 ]
机构：
[1] Bashkir State Univ, Ufa 420074, Bashkortostan, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2020年 / 41卷 / 11期
基金：
俄罗斯科学基金会;
关键词：
harmonic function; subharmonic function; balayage; Jensen measure; Arens– Singer measure; integration of measures; polar set; HOLOMORPHIC-FUNCTIONS;
D O I：
10.1134/S1995080220110116
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate some properties of balayage, or, sweeping (out), of measures with respect to subclasses of subharmonic functions. The following issues are considered: relationships between balayage of measures with respect to classes of harmonic or subharmonic functions and balayage of measures with respect to significantly smaller classes of specific classes of functions; integration of measures and balayage of measures; sensitivity of balayage of measures to polar sets, etc.
引用
收藏
页码：2179 / 2189
页数：11
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