Potential theory in the class of m-subharmonic functions

被引：60

作者：

Sadullaev, A. ^{[1
]}

Abdullaev, B. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Tashkent 100174, Uzbekistan

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2012年 / 279卷 / 01期

关键词：

DIRICHLET PROBLEM; EQUATIONS;

D O I：

10.1134/S0081543812080111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A potential theory for the equation (dd (c) u)m a beta (n-m) = f beta (n) , 1 a parts per thousand currency sign m a parts per thousand currency sign n, is developed. The corresponding notions of m-capacity and m-subharmonic functions are introduced, and their properties are studied. DOI: 10.1134/S0081543812080111

引用

页码：155 / 180

页数：26

共 28 条

[1] DIRICHLET PROBLEM FOR A COMPLEX MONGE-AMPERE EQUATION [J].