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

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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… Click to show full 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: functions balayage; balayage measures; sub harmonic; respect sub; measures respect

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2020

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