A Counterexample in Lp Approximation by Harmonic Functions
Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 568-582

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1997-026-3
Mots-clés : 41A30, 31C15
Mateu, Joan. A Counterexample in Lp Approximation by Harmonic Functions. Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 568-582. doi: 10.4153/CJM-1997-026-3
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