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Boundedness, compactness and Schatten-class membership of weighted composition operators

dc.contributor.authorGallardo Gutiérrez, Eva Antonia
dc.contributor.authorKumar, R.
dc.contributor.authorPartington, Jonathan R.
dc.date.accessioned2023-06-20T03:32:13Z
dc.date.available2023-06-20T03:32:13Z
dc.date.issued2010
dc.description.abstractThe boundedness and compactness of weighted composition operators on the Hardy space H(2) of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schatten-class membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake are derived. Finally, weighted composition operators on weighted Bergman spaces A(alpha)(2)(D) are considered, and the results of Harper and Smith, linking their properties to those of Carleson embeddings, are extended to this situation.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipPlan Nacional I + D
dc.description.sponsorshipGobierno de Aragon research group Analisis Matematico y Aplicaciones
dc.description.sponsorshipRoyal Society (UK)
dc.description.sponsorshipDepartment of Science and Technology (India)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21035
dc.identifier.doi10.1007/s00020-010-1795-6
dc.identifier.issn0378-620X
dc.identifier.officialurlhttps//doi.org/10.1007/s00020-010-1795-6
dc.identifier.relatedurlhttp://link.springer.com/content/pdf/10.1007%2Fs00020-010-1795-6.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/43777
dc.issue.number4
dc.journal.titleIntegral Equations and Operator Theory
dc.language.isoeng
dc.page.final479
dc.page.initial467
dc.publisherBirkhauser Verlag
dc.relation.projectIDMTM2007-61446
dc.relation.projectIDDGA E-64. R
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordWeighted composition operators
dc.subject.keywordCarleson embeddings
dc.subject.keywordReproducing kernels
dc.subject.keywordAngular derivative
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleBoundedness, compactness and Schatten-class membership of weighted composition operatorsen
dc.typejournal article
dc.volume.number67
dspace.entity.typePublication
relation.isAuthorOfPublicationf56f1f11-4b62-4a87-80df-8dc195da1201
relation.isAuthorOfPublication.latestForDiscoveryf56f1f11-4b62-4a87-80df-8dc195da1201

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