Poisson-Jensen Formulas and Balayage of Measures
Complex Variables
2020-08-04 v1 Functional Analysis
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 and their potentials.
Keywords
Cite
@article{arxiv.2005.00408,
title = {Poisson-Jensen Formulas and Balayage of Measures},
author = {Bulat N. Khabibullin},
journal= {arXiv preprint arXiv:2005.00408},
year = {2020}
}
Comments
23 pages