Functions and Analysis


Balayage of Measures and Their Potentials: Duality Theorems and Extended Poisson-Jensen Formula

Authors: Bulat N. Khabibullin, Enzhe Menshikova

We investigate some properties of balayage of measures and their potentials on domains or open sets in finite-dimensional Euclidean space. Main results are Duality Theorems for potentials of balayage of measures, for Arens-Singer and Jensen measures and potentials, and also a new extended and generalized variant of Poisson-Jensen formula for balayage of measure and their potentials.

Comments: 19 Pages.

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[v1] 2019-08-22 02:32:21

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