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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
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.
Received: 28.04.2020
Citation:
B. N. Khabibullin, “Poisson–Jensen formulas and balayage of measures”, Eurasian Math. J., 12:4 (2021), 53–73
Linking options:
https://www.mathnet.ru/eng/emj422 https://www.mathnet.ru/eng/emj/v12/i4/p53
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Abstract page: | 125 | Full-text PDF : | 183 | References: | 25 |
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