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Sharpness and non-compactness of embeddings of Bessel-potential-type spaces

✍ Scribed by Amiran Gogatishvili; Júlio Severino Neves; Bohumír Opic

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
182 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We establish embeddings for Bessel potential spaces modeled upon Lorentz–Karamata spaces with order of smoothness less than one. The target spaces are of Hölder‐continuous type. In the super‐limiting case we also prove that the embedding is sharp and fails to be compact. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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