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

2020/04/11 by Б. Н. Хабибуллин, Khabibullin, B. N.
Mathematics · #Holomorphic and Operator Theory #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.2004.06714

Abstract

We investigate some properties of balayage, or, sweeping (out), of measures\nwith respect to subclasses of subharmonic functions. The following issues are\nconsidered: relationships between balayage of measures with respect to classes\nof harmonic or subharmonic functions and balayage of measures with respect to\nsignificantly smaller classes of specific classes of functions; integration of\nmeasures and balayage of measures; sensitivity of balayage of measures to polar\nsets, etc.\n

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