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Eurasian Mathematical Journal, 2021, Volume 12, Number 4, Pages 53–73
DOI: https://doi.org/10.32523/2077-9879-2021-12-4-53-73 (Mi emj422) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Poisson–Jensen formulas and balayage of measures

B. N. Khabibullin

Department of Mathematics and IT, Bashkir State University, 32 Zaki Validi Street, 450076 Ufa, Bashkortostan, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2021-12-4-53-73
Abstract: Our main results are certain developments of the classical Poisson–Jensen formula for subharmonic functions. The basis of the classical Poisson–Jensen formula is the natural duality between harmonic measures and Green's functions. Our generalizations use some duality between the balayage of measures and their potentials.
Keywords and phrases: subharmonic function, potential, Riesz measure, Green's function, harmonic measure, Poisson–Jensen formula, balayage of measures, Jensen measure.
Funding agency Grant number
Russian Science Foundation 22-21-00026
The research was carried out with the financial support of the Russian Science Foundation, grant No. 22-21-00026, https://rscf.ru/project/22-21-00026/.
Received: 28.04.2020
Bibliographic databases:
Document Type: Article
MSC: 31B05, 31A05, 31B15, 31A15, 26A51
Language: English
Citation: B. N. Khabibullin, “Poisson–Jensen formulas and balayage of measures”, Eurasian Math. J., 12:4 (2021), 53–73
Citation in format AMSBIB
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\by B.~N.~Khabibullin
\paper Poisson--Jensen formulas and balayage of measures
\jour Eurasian Math. J.
\yr 2021
\vol 12
\issue 4
\pages 53--73
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