Compact embeddings of Brezis-Wainger type

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dc.contributor.authorCobos Díaz, Fernando
dc.contributor.authorKühn, Thomas
dc.contributor.authorSchonbek, Tomas
dc.date.accessioned2023-06-20T09:33:09Z
dc.date.available2023-06-20T09:33:09Z
dc.date.issued2006
dc.description.abstractLet Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space B1+n/p pq (Rn) into the generalized Lipschitz space Lip(1,−α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ) ∼ k−1/p if α > max (1 + 2/p −1/q, 1/p). Our estimates improve previous results by Edmunds and Haroske.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMadrid Ciencia y Tecnología
dc.description.sponsorshipMathematisches Forschungsinstitut Oberwolfach
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15042
dc.identifier.issn0213-2230
dc.identifier.officialurlhttp://projecteuclid.org/euclid.rmi/1148492184
dc.identifier.relatedurlhttp://projecteuclid.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49883
dc.issue.number1
dc.journal.titleRevista Matemática Iberoamericana
dc.language.isoeng
dc.page.final322
dc.page.initial305
dc.publisherUniversidad Autónoma Madrid
dc.relation.projectIDBFM2001-1424
dc.rights.accessRightsopen access
dc.subject.cdu517.98
dc.subject.keywordEntropy Numbers
dc.subject.keywordBanach-Spaces
dc.subject.keywordOperators
dc.subject.keywordCompact embeddings
dc.subject.keywordBesov spaces
dc.subject.keywordLipschitz spaces
dc.subject.keywordMathematics
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleCompact embeddings of Brezis-Wainger typeen
dc.typejournal article
dc.volume.number22
dspace.entity.typePublication
relation.isAuthorOfPublicationad35279f-f928-4b72-a5bd-e422662ac4c1
relation.isAuthorOfPublication.latestForDiscoveryad35279f-f928-4b72-a5bd-e422662ac4c1
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