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dc.contributor.author | Bonet Solves, José Antonio![]() |
es_ES |
dc.contributor.author | Lusky, Wolfgang![]() |
es_ES |
dc.contributor.author | Taskinen, Jari![]() |
es_ES |
dc.date.accessioned | 2022-07-05T18:05:44Z | |
dc.date.available | 2022-07-05T18:05:44Z | |
dc.date.issued | 2021-12 | es_ES |
dc.identifier.issn | 0378-620X | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/183846 | |
dc.description.abstract | [EN] There are recent results concerning the boundedness and also unboundedness of Bergman projections on weighted spaces of the unit disc in special cases of rapidly decreasing weights, i.e. "large" Bergman spaces. The aim of our paper is to show that the cases of boundedness are largely exceptional: in general the Bergman projections are unbounded. In addition we give a new, more functional analytic proof for the known central boundedness case which also enables us to transfer our results to harmonic Bergman spaces. | es_ES |
dc.description.sponsorship | The research of Bonet was partially supported by the project MCIN PID2020-119457GB-I00/AEI/10.13039/501100011033. The research of Taskinen was partially supported by the Vaisala Foundation of the Finnish Academy of Sciences and Letters. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Integral Equations and Operator Theory | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Bergman projection | es_ES |
dc.subject | Weighted Bergman spaces | es_ES |
dc.subject | Exponential weights | es_ES |
dc.subject | Reproducing kernel | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Unbounded Bergman projections on weighted spaces with respect to exponential weights | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s00020-021-02680-2 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-119457GB-I00/ES/METODOS DEL ANALISIS FUNCIONAL PARA LA TEORIA DE OPERADORES Y EL ANALISIS TIEMPO-FRECUENCIA/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Bonet Solves, JA.; Lusky, W.; Taskinen, J. (2021). Unbounded Bergman projections on weighted spaces with respect to exponential weights. Integral Equations and Operator Theory. 93(6):1-21. https://doi.org/10.1007/s00020-021-02680-2 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s00020-021-02680-2 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 21 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 93 | es_ES |
dc.description.issue | 6 | es_ES |
dc.relation.pasarela | S\451209 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
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