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A Counterexample in Lp Approximation by Harmonic Functions

Published online by Cambridge University Press:  20 November 2018

Joan Mateu
Joan Mateu*
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain e-mail: mateu@manwe.mat.uab.es
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Abstract

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For we show that the conditions for all open sets G, C 2,q denoting Bessel capacity, are not sufficient to characterize the compact sets X with the property that each function harmonic on and in Lp (X) is the limit in the Lp norm of a sequence of functions which are harmonic on neighbourhoods of X.

Keywords

41A3031C15

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 3 , 01 June 1997, pp. 568 - 582
Copyright
Copyright © Canadian Mathematical Society 1997

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