Boundary values of harmonic Bloch functions in Lipschitz domains: A Martingale approach

被引：9

作者：

Llorente, JG ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

POTENTIAL ANALYSIS | 1998年 / 9卷 / 03期

关键词：

Lipschitz domain; Bloch function; harmonic measure; Martingales;

D O I：

10.1023/A:1008655312464

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 boundary behaviour of analytic Bloch functions in the unit disk. Certain means associated with the function allow to approximate it by a Martingale, and the boundary properties of the function are transferred to the asymptotic behaviour of the Martingale.

引用

页码：229 / 260

页数：32

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