Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/15979
Título: | Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces |
Autor: | Caetano, António Opic, Bohumír Gogatishvili, Amiran |
Palavras-chave: | Quasi-Banach function space Compactness Compact embedding Absolute continuity Besov space Lorentz space |
Data: | 23-Jun-2016 |
Editora: | Cambridge University Press; Royal Society of Edinburgh |
Resumo: | There are two main aims of the paper. The first one is to extend the criterion for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spaces. The second one is to extend the criterion for the precompactness of sets in the Lebesgue spaces $L_p(\Rn)$, $1 \leq p < \infty$, to the so-called power quasi-Banach function spaces. These criteria are applied to establish compact embeddings of abstract Besov spaces into quasi-Banach function spaces. The results are illustrated on embeddings of Besov spaces $B^s_{p,q}(\Rn)$, $0<s<1$, $0<p,q\leq \infty$, into Lorentz-type spaces. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15979 |
DOI: | 10.1017/S0308210515000761 |
ISSN: | 0308-2105 |
Aparece nas coleções: | CIDMA - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
CGO4_v22.pdf | Documento principal | 517.89 kB | Adobe PDF | Ver/Abrir |
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