Global approximation in harmonic spaces-Reference-Cited by-同舟云学术

Global approximation in harmonic spaces

Published:1994 Issue:1 Volume:122 Page:213-221
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gardiner Stephen J.,Goldstein Myron,GowriSankaran Kohur

Abstract

This paper characterizes, in terms of thinness, compact sets K in a suitable harmonic space Ω \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 Ω \Omega . The corresponding problems of approximating functions which are continuous on K and harmonic (resp. superharmonic) on the interior K ˚ \mathring {K} are also solved.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-122-01/S0002-9939-1994-1203986-8/S0002-9939-1994-1203986-8.pdf

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