A generalization of the Aleksandrov operator and adjoints of weighted composition operators
| dc.contributor.author | Gallardo Gutiérrez, Eva Antonia | |
| dc.contributor.author | Partington, Jonathan R. | |
| dc.date.accessioned | 2023-06-19T13:22:03Z | |
| dc.date.available | 2023-06-19T13:22:03Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | A generalization of the Aleksandrov operator is provided, in order to represent the adjoint of a weighted composition operator on H-2 by means of an integral with respect to a measure. In particular, we show the existence of a family of measures which represents the adjoint of a weighted composition operator under fairly mild assumptions, and we discuss not only uniqueness but also the generalization of Aleksandrov-Clark measures which corresponds to the unweighted case, that is, to the adjoint of composition operators. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Plan Nacional I+D | |
| dc.description.sponsorship | Gobierno de Aragon research group Analisis Matematico y Aplicaciones | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/23174 | |
| dc.identifier.doi | 10.5802/aif.2763 | |
| dc.identifier.issn | 1777-5310 | |
| dc.identifier.officialurl | https//doi.org/10.5802/aif.2763 | |
| dc.identifier.relatedurl | https://www1.maths.leeds.ac.uk/Pure/staff/partington/Gallardo-Partington_revised_february_2012.pdf | |
| dc.identifier.relatedurl | http://aif.cedram.org/item?id=AIF_2013__63_2_373_0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33354 | |
| dc.issue.number | 2 | |
| dc.journal.title | Annales de l'institut Fourier | |
| dc.language.iso | eng | |
| dc.page.final | 389 | |
| dc.page.initial | 373 | |
| dc.publisher | Association des Annales de l'Institut Fourier | |
| dc.relation.projectID | MTM2010-16679 | |
| dc.relation.projectID | DGA E-64 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Aleksandrov operator | |
| dc.subject.keyword | Aleksandrov-Clark measures | |
| dc.subject.keyword | Weighted composition operators | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | A generalization of the Aleksandrov operator and adjoints of weighted composition operators | en |
| dc.type | journal article | |
| dc.volume.number | 63 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f56f1f11-4b62-4a87-80df-8dc195da1201 | |
| relation.isAuthorOfPublication.latestForDiscovery | f56f1f11-4b62-4a87-80df-8dc195da1201 |
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