GLOBAL APPROXIMATION IN HARMONIC SPACES

Authors
GARDINER RSJ GOLDSTEIN M GOWRISANKARAN K
Citation
Rsj. Gardiner et al., GLOBAL APPROXIMATION IN HARMONIC SPACES, Proceedings of the American Mathematical Society, 122(1), 1994, pp. 213-221
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
1
Year of publication
1994
Pages
213 - 221
Database
ISI
SICI code
0002-9939(1994)122:1<213:GAIHS>2.0.ZU;2-3
Abstract
This paper characterizes, in terms of thinness, compact sets K in a su itable harmonic space OMEGA which have the following property: functio ns which are harmonic (resp. continuous and superharmonic) on a neighb ourhood of K can be uniformly approximated on K by functions which are harmonic (resp. continuous and superharmonic) on OMEGA. The correspon ding problems of approximating functions which are continuous on K and harmonic (resp. superharmonic) on the interior K are also solved.