Boundary Values of Harmonic Bloch Functions in Lipschitz Domains: A Martingale Approach

被引：0

作者：

J.G. Llorente

机构：

[1] Universidad Autónoma de Madrid,Departamento de Matemáticas

来源：

Potential Analysis | 1998年 / 9卷

关键词：

Lipschitz domain; Bloch function; harmonic measure; martingales.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the boundary behaviour of a certain class of harmonic functions in Lipschitz domains is studied. It continues the work of N. Makarov on the boudary behaviour of analytic Bloch functions in the unit disk. Certain means associated with the function allow to approximate it by a martingale, and the boudary properties of the function are transferred to the asymptotic behaviour of the martingale.

引用

页码：229 / 260

页数：31

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