Poisson–Jensen Formulas and Balayage of Measures

Bulat Khabibullin

Poisson–Jensen Formulas and Balayage of Measures

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Authors

Bulat Khabibullin

Keywords:

subharmonic function, potential, Riesz measure, Green's function, harmonic measure, Poisson–Jensen formula, balayage of measures, Jensen measure

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.

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Published

2021-09-01

How to Cite

Khabibullin, B. (2021). Poisson–Jensen Formulas and Balayage of Measures. Eurasian Mathematical Journal, 12(4). Retrieved from https://emj.enu.kz/index.php/main/article/view/240