论文标题

泊松 - 詹森公式和措施的balayage

Poisson-Jensen Formulas and Balayage of Measures

论文作者

Khabibullin, Bulat N.

论文摘要

我们的主要结果是用于亚谐波功能的经典泊松公式的某些发展。经典泊松 - 詹森公式的基础是谐波措施与格林功能之间的自然二元性。我们的概括在措施及其潜力之间使用了一定的双重性。

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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