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Unbounded Bergman projections on weighted spaces with respect to exponential weights

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Unbounded Bergman projections on weighted spaces with respect to exponential weights

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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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