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

• Autores: Amiran Gogatishvili , Julio Severino Neves, Bohumír Opic
• Localización: Mathematische Nachrichten, ISSN 0025-584X, Vol. 280, Nº. 9-10, 2007, págs. 1083-1093
• Idioma: inglés
• DOI: 10.1002/mana.200510537
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• Resumen

  • 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