Vol. 78, No. 1, 1978

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Capacities of compact sets in linear subspaces of Rn

Tord Sjödin

Vol. 78 (1978), No. 1, 261–266
Abstract

We consider two types of spaces, the Bessel potential spaces Lαp(Rn) and the Besov spaces Λαp(Rn), α > 0, 1 < p < . Associated in a natural way with these spaces are classes of exceptional sets. We characterize the exceptional sets for Λαp(Rn) by an extension property for continuous functions and prove an inequality between Bessel and Besov capacities.

Mathematical Subject Classification 2000
Primary: 31B10
Secondary: 46E35
Milestones
Received: 8 October 1976
Published: 1 September 1978
Authors
Tord Sjödin