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http://hdl.handle.net/10773/15979
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DC Field | Value | Language |
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dc.contributor.author | Caetano, António | pt |
dc.contributor.author | Opic, Bohumír | pt |
dc.contributor.author | Gogatishvili, Amiran | pt |
dc.date.accessioned | 2016-07-25T11:01:29Z | - |
dc.date.available | 2018-07-20T14:00:55Z | - |
dc.date.issued | 2016-06-23 | - |
dc.identifier.issn | 0308-2105 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15979 | - |
dc.description.abstract | 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. | pt |
dc.language.iso | eng | pt |
dc.publisher | Cambridge University Press; Royal Society of Edinburgh | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt |
dc.relation | Grant Agency of the Czech Republic - P 201 13-14743S | pt |
dc.rights | openAccess | por |
dc.subject | Quasi-Banach function space | pt |
dc.subject | Compactness | pt |
dc.subject | Compact embedding | pt |
dc.subject | Absolute continuity | pt |
dc.subject | Besov space | pt |
dc.subject | Lorentz space | pt |
dc.title | Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.title | Proceedings of the Royal Society of Edinburgh, Section: A Mathematics | pt |
dc.date.embargo | 2016-12-20T11:00:00Z | - |
dc.identifier.doi | 10.1017/S0308210515000761 | pt |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CGO4_v22.pdf | Documento principal | 517.89 kB | Adobe PDF | View/Open |
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