Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces

Autores: Bohumír Opic, J. S. Neves, Amiran Gogatishvili
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 49, Nº 2, 2005, págs. 297-327
Idioma: inglés
DOI: 10.5565/publmat_49205_03
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Resumen
- We establish the sharpness of embedding theorems for Bessel-potential spaces modelled upon Lorentz-Karamata spaces and we prove the non-compactness of such embeddings. Target spaces in our embeddings are generalized Hölder spaces. As consequences of our results, we get continuous envelopes of Bessel-potential spaces modelled upon Lorentz-Karamata spaces