Extension and approximation of m-subharmonic functions

被引：5

作者：

Ahag, Per ^{[1
]}

Czyz, Rafal ^{[2
]}

Hed, Lisa ^{[1
]}

机构：

[1] Umea Univ, Dept Math & Math Stat, Umea, Sweden

[2] Jagiellonian Univ, Fac Math & Comp Sci, Krakow, Poland

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 06期

关键词：

Exhaustion function; m-subharmonic function; Jensen measure; approximation; Dirichlet problem; PLURISUBHARMONIC-FUNCTIONS; DIRICHLET PROBLEM; SIMPLICIAL CONES;

D O I：

10.1080/17476933.2017.1345888

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let . Cn be a bounded domain, and let f be a real-valued function defined on the whole topological boundary. . The aim of this paper is to find a characterization of the functions f which can be extended to the inside to am-subharmonic function under suitable assumptions on . We shall do so using a function algebraic approach with focus on m-subharmonic functions defined on compact sets. We end this note with some remarks on approximation of m-subharmonic functions.

引用

页码：783 / 801

页数：19

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