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On nuclearity of embeddings between Besov spaces

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dc.contributor.authorCobos, Fernando
dc.contributor.authorDomínguez, Oscar
dc.contributor.authorKühn, Thomas
dc.date.accessioned2023-06-17T12:27:25Z
dc.date.available2023-06-17T12:27:25Z
dc.date.issued2018
dc.description.abstractLet Bp,qs,α(Ω) be the Besov space with classical smoothness s and additional logarithmic smoothness of order α on a bounded Lipschitz domain Ω in Rd. For s1, s2 ∈ R, 1 ≤ p1, p2, q1, q2 ≤ ∞ and s1 − s2 = d − d(1/p2 − 1/p1)+, we show a sufficient condition on q1, q2 for nuclearity of embedding Bs1,α1 (superíndices) y p1, q1 (subíndices)(Ω) → Bp2,α2 (superíndice) y s2 q,2 (subíndices) (Ω). We also show that the condition is necessary in a wide range of parameters.
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/47561
dc.identifier.doi10.1016/j.jat.2017.10.009
dc.identifier.relatedurlhttps://www.elsevier.es/corp/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/12108
dc.journal.titleJournal of Approximation Theory
dc.language.isoeng
dc.page.final223
dc.page.initial209
dc.relation.projectIDMTM2014-55565 a
dc.relation.projectIDUCM (910444)
dc.rights.accessRightsopen access
dc.subject.cdu517.98
dc.subject.keywordEspacios de Besov
dc.subject.keywordBesov spaces
dc.subject.keywordNuclear embeddings
dc.subject.keywordGeneralized smoothness
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.unesco12 Matemáticas
dc.titleOn nuclearity of embeddings between Besov spaces
dc.typejournal article
dc.volume.number225
dspace.entity.typePublication
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