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Solid hulls and cores of weighted H-infinity-spaces

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Solid hulls and cores of weighted H-infinity-spaces

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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 2019-07-20T20:01:24Z
dc.date.available 2019-07-20T20:01:24Z
dc.date.issued 2018 es_ES
dc.identifier.issn 1139-1138 es_ES
dc.identifier.uri http://hdl.handle.net/10251/123855
dc.description.abstract [EN] We determine the solid hull and solid core of weighted Banach spaces H-upsilon(infinity) of analytic functions functions f such that upsilon vertical bar f vertical bar is bounded, both in the case of the holomorphic functions on the disc and on the whole complex plane, for a very general class of radial weights upsilon. Precise results are presented for concrete weights on the disc that could not be treated before. It is also shown that if H-upsilon(infinity) is solid, then the monomials are an (unconditional) basis of the closure of the polynomials in H-upsilon(infinity). As a consequence H-upsilon(infinity) does not coincide with its solid hull and core in the case of the disc. An example shows that this does not hold for weighted spaces of entire functions. es_ES
dc.description.sponsorship The research of Bonet was partially supported by the project MTM2016-76647-P. 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 Revista Matemática Complutense es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weighted Banach spaces of analytic functions es_ES
dc.subject Solid hull es_ES
dc.subject Solid core es_ES
dc.subject Schauder basis es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Solid hulls and cores of weighted H-infinity-spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13163-018-0265-6 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.date.embargoEndDate 2019-09-30 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. (2018). Solid hulls and cores of weighted H-infinity-spaces. Revista Matemática Complutense. 31(3):781-804. https://doi.org/10.1007/s13163-018-0265-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13163-018-0265-6 es_ES
dc.description.upvformatpinicio 781 es_ES
dc.description.upvformatpfin 804 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 31 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\367667 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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