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

Gogatishvili, Amiran, Neves, Júlio S., and Opic, Bohumír. "Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces.." Publicacions Matemàtiques 49.2 (2005): 297-327. <http://eudml.org/doc/41571>.

@article{Gogatishvili2005,
abstract = {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.},
author = {Gogatishvili, Amiran, Neves, Júlio S., Opic, Bohumír},
journal = {Publicacions Matemàtiques},
keywords = {Inmersiones; Espacios de funciones lineales; Espacios de Lorentz; Potencial de Bessel; Espacios de Sobolev; Espacios de Hölder generalizados; Bessel potential spaces; Sobolev embeddings},
language = {eng},
number = {2},
pages = {297-327},
title = {Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces.},
url = {http://eudml.org/doc/41571},
volume = {49},
year = {2005},
}

TY - JOUR
AU - Gogatishvili, Amiran
AU - Neves, Júlio S.
AU - Opic, Bohumír
TI - Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces.
JO - Publicacions Matemàtiques
PY - 2005
VL - 49
IS - 2
SP - 297
EP - 327
AB - 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.
LA - eng
KW - Inmersiones; Espacios de funciones lineales; Espacios de Lorentz; Potencial de Bessel; Espacios de Sobolev; Espacios de Hölder generalizados; Bessel potential spaces; Sobolev embeddings
UR - http://eudml.org/doc/41571
ER -