论文标题

相对于次谐波和谐波功能类别的措施

Balayage of Measures with respect to Classes of Subharmonic and Harmonic Functions

论文作者

Khabibullin, B. N.

论文摘要

我们研究了Balayage或扫描(OUT)的某些特性,该措施与亚谐波函数的子类方面有关。考虑了以下问题:相对于谐波或谐波功能类别的措施的巴莱奇(Balayage)之间的关系与量度相对于明显较小的特定功能类别的措施的关系;措施和衡量标准的整合;对极性集的量子的敏感性,等等。

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.

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