GLOBAL APPROXIMATION IN HARMONIC SPACES

被引：0

作者：

GARDINER, RSJ ^{[1
]}

GOLDSTEIN, M ^{[1
]}

GOWRISANKARAN, K ^{[1
]}

机构：

[1] MCGILL UNIV,DEPT MATH & STAT,MONTREAL H3A 2K6,QUEBEC,CANADA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper characterizes, in terms of thinness, compact sets K in a suitable harmonic space OMEGA which have the following property: functions which are harmonic (resp. continuous and superharmonic) on a neighbourhood of K can be uniformly approximated on K by functions which are harmonic (resp. continuous and superharmonic) on OMEGA. The corresponding problems of approximating functions which are continuous on K and harmonic (resp. superharmonic) on the interior K are also solved.

引用

页码：213 / 221

页数：9

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