Balayage of Measures with respect to Classes of Subharmonic and Harmonic Functions
Complex Variables
2020-04-15 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2004.06714,
title = {Balayage of Measures with respect to Classes of Subharmonic and Harmonic Functions},
author = {B. N. Khabibullin},
journal= {arXiv preprint arXiv:2004.06714},
year = {2020}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:2001.00814