On the Relationship Between Two Kinds of Besov Spaces with Smoothness Near Zero and Some Other Applications of Limiting Interpolation

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dc.contributor.authorCobos Díaz, Fernando
dc.contributor.authorDomínguez Bonilla, Óscar
dc.date.accessioned2023-06-19T14:58:52Z
dc.date.available2023-06-19T14:58:52Z
dc.date.issued2015
dc.description.abstractUsing limiting interpolation techniques we study the elationship between Besov spaces B0,−1/q p,q with zero classical smoothness and logarithmic smoothness −1/q defined by means of differences with similar spaces 0,b,d p,q defined by means of the Fourier transform. Among other things, we prove that B0,−1/2 2,2 = B0,0,1/2 2,2 . We also derive several results on periodic spaces B0,−1/q p,q (T), including embeddings in generalized Lorentz–Zygmund spaces and the distribution of Fourier coefficients of functions of B0,−1/q p,q (T).en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía, Comercio y Empresa (España)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/35141
dc.identifier.doihttp//.dx.doi.org/10.1007/s00041-015-9454-6
dc.identifier.issn10695869
dc.identifier.urihttps://hdl.handle.net/20.500.14352/35027
dc.journal.titleJournal of Fourier Analysis and Applications
dc.language.isoeng
dc.page.final18
dc.page.initial1
dc.publisherBirkhauser
dc.relation.projectIDMTM2013-42220-P
dc.relation.projectIDAP2012-0779
dc.relation.projectIDGR3/14-910348
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordBesov spaces
dc.subject.keywordLogarithmic smoothness
dc.subject.keywordLimiting interpolation spaces
dc.subject.keywordFourier coefficients
dc.subject.keywordLorentz–Zygmund spaces
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleOn the Relationship Between Two Kinds of Besov Spaces with Smoothness Near Zero and Some Other Applications of Limiting Interpolationen
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublicationad35279f-f928-4b72-a5bd-e422662ac4c1
relation.isAuthorOfPublicationd810d5fb-713a-4676-aa2e-3fc94b61eea7
relation.isAuthorOfPublication.latestForDiscoveryd810d5fb-713a-4676-aa2e-3fc94b61eea7
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