Computational Methods and Function Theory 4 (2004), No. 1, 43--45
Copyright Heldermann Verlag 2004
Stephen J. Gardiner
stephen.gardiner@ucd.ie , Department of Mathematics, University College Dublin, Dublin 4, Ireland.
Let E be a subset of a domain Ω in Euclidean space. This note verifies a conjecture of Arcozzi and Björn concerning the completeness of the space of harmonic functions u on Ω that are bounded on E, where the supremum norm is taken with respect to the restriction of u to E.
Keywords: Harmonic function, Banach space, accessibility.
MSC 2000: Primary 31B05, Secondary 46E15.
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