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Polynomial approach to cyclicity for weighted ℓpA

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carlosiii.embargo.terms2022-01-01
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorSeco Forsnacke, Daniel
dc.contributor.authorTéllez, Roberto
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-05-14T10:54:51Z
dc.date.available2022-01-01T00:00:04Z
dc.date.issued2021-01
dc.description.abstractIn previous works, an approach to the study of cyclic functions in reproducing kernel Hilbert spaces has been presented, based on the study of so called optimal polynomial approximants. In the present article, we extend such approach to the (non-Hilbert) case of spaces of analytic functions whose Taylor coefficients are in ℓp(ω), for some weight ω. When ω={(k+1)α}k∈N, for a fixed α∈R, we derive a characterization of the cyclicity of polynomial functions and, when 1 < p < ∞, we obtain sharp rates of convergence of the optimal norms.en
dc.description.sponsorshipWe acknowledge financial support from the Spanish Ministry of Economy and Competitiveness, through the "Severo Ochoa Programme for Centers of Excellence in R&D" (SEV-2015-0554) and through grant MTM2016-77710-P. We are also grateful to Raymond Cheng and to an anonymous referee for helpful comments and careful reading.en
dc.format.extent16
dc.identifier.bibliographicCitationSeco, D. & Téllez, R. (2021). Polynomial approach to cyclicity for weighted ℓpA. Banach Journal of Mathematical Analysis, 15(1), 1.en
dc.identifier.doihttps://doi.org/10.1007/s43037-020-00085-8
dc.identifier.issn1735-8787
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue1
dc.identifier.publicationlastpage16
dc.identifier.publicationtitleBanach Journal of Mathematical Analysisen
dc.identifier.publicationvolume15
dc.identifier.urihttps://hdl.handle.net/10016/32638
dc.identifier.uxxiAR/0000027606
dc.language.isoeng
dc.publisherSpringer Natureen
dc.relation.projectIDGobierno de España. MTM2016-77710-Pes
dc.relation.projectIDGobierno de España. SEV-2015-0554es
dc.rights© 2020, Tusi Mathematical Research Group (TMRG)en
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherAnalytic function spacesen
dc.subject.otherCyclic functionsen
dc.subject.otherOptimal polynomial approximantsen
dc.titlePolynomial approach to cyclicity for weighted ℓpAen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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