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On Besov spaces modelled on Zygmund spaces

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dc.contributor.authorCobos, Fernando
dc.contributor.authorDomínguez, Oscar
dc.date.accessioned2023-06-18T06:56:35Z
dc.date.available2023-06-18T06:56:35Z
dc.date.issued2016
dc.description.abstractWorking on the d-torus, we show that Besov spaces Bps(Lp(logL)a) modelled on Zygmund spaces can be described in terms of classical Besov spaces. Several other properties of spaces Bps(Lp(logL)a) are also established. In particular, in the critical case s=d/p, we characterize the embedding of Bpd/p(Lp(logL)a) into the space of continuous functions.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipUniversidad Complutense de Madrid-BS
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/39279
dc.identifier.doi10.1016/j.jat.2016.07.007
dc.identifier.issn00219045
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0021904516300636
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/24637
dc.journal.titleJournal of Approximation Theory
dc.language.isoeng
dc.page.final77
dc.page.initial61
dc.publisherAcademic Press Inc.
dc.relation.projectIDMTM2013-42220-P
dc.relation.projectIDAP2012-0779
dc.relation.projectIDUCM-BS (GR3/14-910348)
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordLogarithmic Besov spaces
dc.subject.keywordZygmund spaces
dc.subject.keywordLimiting interpolation methods
dc.subject.keywordTrigonometric polynomials
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleOn Besov spaces modelled on Zygmund spaces
dc.typejournal article
dc.volume.number211
dspace.entity.typePublication
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