POISSON-JENSEN FORMULAS AND BALAYAGE OF MEASURES

IF 0.6 Q3 MATHEMATICS

Eurasian Mathematical Journal Pub Date : 2020-04-27 DOI:10.32523/2077-9879-2021-12-4-53-73

B. Khabibullin

引用次数: 1

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.

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poison-JENSEN公式与测度平衡

我们的主要结果是亚调和函数的经典Poisson-Jensen公式的某些发展。经典泊松-詹森公式的基础是调和测度和格林函数之间的自然对偶。我们的推广使用了度量和的平衡与其潜力之间的一些对偶性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Eurasian Mathematical Journal MATHEMATICS-

CiteScore

1.70

自引率

50.00%

发文量

期刊介绍： Publication of carefully selected original research papers in all areas of mathematics written by mathematicians first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Mathematical Journal will also publish survey papers.