A NEVANLINNA THEOREM FOR SUPERHARMONIC FUNCTIONS ON DIRICHLET REGULAR GREENIAN SETS

被引：0

作者：

Watson, Neil A. ^{[1
]}

机构：

[1] Univ Canterbury, Dept Math & Stat, Christchurch, New Zealand

来源：

MATHEMATICA BOHEMICA | 2005年 / 130卷 / 01期

关键词：

Nevanlinna theorem; superharmonic function; delta-subharmonic function; Riesz measure; mean value;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalization of Nevanlinna's First Fundamental Theorem to superharmonic functions on Green balls is proved. This enables us to generalize many other theorems, on the behaviour of mean values of superharmonic functions over Green spheres, on the Hausdorff measures of certain sets, on the Riesz measures of superharmonic functions, and on differences of positive superharmonic functions.

引用

页码：1 / 18

页数：18

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