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Integration Operators in Average Radial Integrability Spaces of Analytic Functions

dc.creatorAguilar-Hernández, Tanausúes
dc.creatorContreras Márquez, Manuel Domingoes
dc.creatorRodríguez Piazza, Luises
dc.date.accessioned2021-10-11T11:18:54Z
dc.date.available2021-10-11T11:18:54Z
dc.date.issued2021
dc.identifier.citationAguilar-Hernández, T., Contreras Márquez, M.D. y Rodríguez Piazza, L. (2021). Integration Operators in Average Radial Integrability Spaces of Analytic Functions. Mediterranean Journal of Mathematics, 18, 117-.
dc.identifier.issn1660-5446es
dc.identifier.issn1660-5454es
dc.identifier.urihttps://hdl.handle.net/11441/126516
dc.description.abstractIn this paper we characterize the boundedness, compactness, and weak compactness of the integration operators Tg(f)(z) = ˆ z 0 f(w)g (w) dw acting on the average radial integrability spaces RM(p, q). For these purposes, we develop different tools such as a description of the bidual of RM(p, 0) and estimates of the norm of these spaces using the derivative of the functions, a family of results that we call Littlewood–Paley type inequalities.es
dc.description.sponsorshipMinisterio de Economía y Competitividad, Spain, and the European Union (FEDER) PGC2018-094215-13-100es
dc.description.sponsorshipJunta de Andalucía, Spain FQM133es
dc.description.sponsorshipJunta de Andalucía, Spain FQM-104es
dc.formatapplication/pdfes
dc.format.extent41 p.es
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofMediterranean Journal of Mathematics, 18, 117-.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMixed norm spaceses
dc.subjectIntegration operatores
dc.subjectLittlewood–Paley type inequalitieses
dc.titleIntegration Operators in Average Radial Integrability Spaces of Analytic Functionses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada IIes
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDPGC2018-094215-13-100es
dc.relation.projectIDFQM133es
dc.relation.projectIDFQM-104es
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00009-021-01774-wes
dc.identifier.doi10.1007/s00009-021-01774-wes
dc.contributor.groupUniversidad de Sevilla. FQM133: Grupo de Investigación en Análisis Funcionales
dc.contributor.groupUniversidad de Sevilla. FQM104: Análisis Matemáticoes
idus.validador.notaPreprint. Submitted versiones
dc.journaltitleMediterranean Journal of Mathematicses
dc.publication.issue18es
dc.publication.initialPage117es

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