Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers

Continuity envelopes for the spaces of generalised smoothness Bpq(s,Ψ)(ℝn) and Fpq(s,Ψ)(ℝn) are studied in the so-called supercritical s=1+n/p, paralleling recent developments for a corresponding limiting case for local growth envelopes of spaces of such a type. In addition, the power of the concept...

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Bibliographic Details
Main Authors: António M. Caetano, Dorothee D. Haroske
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2005/165785