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On an Extreme Class of Real Interpolation Spaces

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dc.contributor.authorCobos Díaz, Fernando
dc.contributor.authorFernández-Cabrera Marín, Luz María
dc.contributor.authorKühn, Thomas
dc.contributor.authorUllrich, Tino
dc.date.accessioned2023-06-20T09:32:44Z
dc.date.available2023-06-20T09:32:44Z
dc.date.issued2009
dc.description.abstractWe investigate the limit class of interpolation spaces that comes up by the choice θ = 0 in the definition of the real method. These spaces arise naturally interpolating by the J -method associated to the unit square. Their duals coincide with the other extreme spaces obtained by the choice θ = 1. We also study the behavior of compact operators under these two extreme interpolation methods. Moreover, we establish some interpolation formulae for function spaces and for spaces of operators.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación, Formación Profesional y Deportes (España)
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipGerman Academic Exchange Service DAAD
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14957
dc.identifier.doi10.1016/j.jfa.2008.12.013
dc.identifier.issn0022-1236
dc.identifier.officialurlhttps//doi.org/10.1016/j.jfa.2008.12.013
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0022123608005417
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49863
dc.issue.number7
dc.journal.titleJournal of Functional Analysis
dc.language.isoeng
dc.page.final2366
dc.page.initial2321
dc.publisherAcademic Press-Elsevier Science
dc.relation.projectIDMTM2007-62121
dc.relation.projectID910348
dc.relation.projectIDD/06/48125
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordExtreme interpolation spaces
dc.subject.keywordReal interpolation
dc.subject.keywordJ -functional
dc.subject.keywordK-functional
dc.subject.keywordInterpolation methods
dc.subject.keywordCompact-Operators
dc.subject.keywordBanach-Spaces
dc.subject.keywordPolygons
dc.subject.keywordExtrapolation
dc.subject.keywordReiteration
dc.subject.keywordDuality
dc.subject.keywordMathematics associated to polygons
dc.subject.keywordCompact operators
dc.subject.keywordLorentz–Zygmund function spaces
dc.subject.keywordSpaces of operators
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleOn an Extreme Class of Real Interpolation Spacesen
dc.typejournal article
dc.volume.number256
dspace.entity.typePublication
relation.isAuthorOfPublicationad35279f-f928-4b72-a5bd-e422662ac4c1
relation.isAuthorOfPublicationf3690587-4355-4f8b-9754-a21a52918c80
relation.isAuthorOfPublication.latestForDiscoveryf3690587-4355-4f8b-9754-a21a52918c80

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