On subextension and approximation of plurisubharmonic functions with given boundary values

被引：1

作者：

Amal, Hichame ^{[1
]}

机构：

[1] CRMEF, Dept Math, Mimousa Kenitra, Morocco

来源：

ANNALES POLONICI MATHEMATICI | 2014年 / 110卷 / 03期

关键词：

Monge-Ampere operator; subextension; approximation; plurisubharmonic functions;

D O I：

10.4064/ap110-3-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in epsilon(chi)(Omega, H), the class of functions with finite chi-energy and given boundary values. We show that, under certain conditions, one can approximate any function in epsilon(chi)(Omega, H) by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.

引用

页码：247 / 258

页数：12

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