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

Bohumír Opic, J. S. Neves, Amiran Gogatishvili

• 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