A FATOU TYPE THEOREM FOR MULTIPLY SUPERHARMONIC FUNCTIONS

被引：0

作者：

GowriSankaran, Kohur ^{[1
]}

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

POTENTIAL THEORY AND STOCHASTICS IN ALBAC: AUREL CORNEA MEMORIAL VOLUME, CONFERENCE PROCEEDINGS | 2009年

关键词：

Fatou type limit; Brelot space; multiply superharmonic function; strict subdivisicm; Lusin space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a multiply harmonic function u > 0 on the product of two Brelot spaces. We construct filters corresponding to a set of full measure (representing the function u) for all extremal elements belonging to a compact base of the cone of positive multiply harmonic functions. Utilizing these filters we prove a Fatou type limit theorem for quotients or the form v/u where v is a multiply superharmonic function > 0.

引用

页码：139 / 144

页数：6

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