Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces.
Gogatishvili, Amiran ; Neves, Júlio S. ; Opic, Bohumír
Publicacions Matemàtiques, Tome 49 (2005), p. 297-327 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2005-01-01
DMLE-ID : 4078 
@article{urn:eudml:doc:41571,
     title = {Optimality of embeddings of Bessel-potential-type spaces into generalized H\"older spaces.},
     journal = {Publicacions Matem\`atiques},
     volume = {49},
     year = {2005},
     pages = {297-327},
     zbl = {1096.46016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41571}
}

Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír. Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces.. Publicacions Matemàtiques, Tome 49 (2005) pp. 297-327. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41571/