B. N. Khabibullin, “Poisson–Jensen formulas and balayage of measures”, Eurasian Math. J., 2021, том 12, номер 4,страницы 53

Эта публикация цитируется в 2 статьях

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

Аннотация: 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.

Ключевые слова и фразы: subharmonic function, potential, Riesz measure, Green's function, harmonic measure, Poisson–Jensen formula, balayage of measures, Jensen measure.

MSC: 31B05, 31A05, 31B15, 31A15, 26A51

Поступила в редакцию: 28.04.2020

Язык публикации: английский

DOI: 10.32523/2077-9879-2021-12-4-53-73