Poisson--Jensen formulas and balayage of measures

B. N. Khabibullin

Eurasian mathematical journal, Tome 12 (2021) no. 4, pp. 53-73.

Résumé

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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