Publication: Polynomial approach to cyclicity for weighted ℓpA
carlosiii.embargo.terms | 2022-01-01 | |
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Análisis Aplicado | es |
dc.contributor.author | Seco Forsnacke, Daniel | |
dc.contributor.author | Téllez, Roberto | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.date.accessioned | 2021-05-14T10:54:51Z | |
dc.date.available | 2022-01-01T00:00:04Z | |
dc.date.issued | 2021-01 | |
dc.description.abstract | In 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.sponsorship | We 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.extent | 16 | |
dc.identifier.bibliographicCitation | Seco, D. & Téllez, R. (2021). Polynomial approach to cyclicity for weighted ℓpA. Banach Journal of Mathematical Analysis, 15(1), 1. | en |
dc.identifier.doi | https://doi.org/10.1007/s43037-020-00085-8 | |
dc.identifier.issn | 1735-8787 | |
dc.identifier.publicationfirstpage | 1 | |
dc.identifier.publicationissue | 1 | |
dc.identifier.publicationlastpage | 16 | |
dc.identifier.publicationtitle | Banach Journal of Mathematical Analysis | en |
dc.identifier.publicationvolume | 15 | |
dc.identifier.uri | https://hdl.handle.net/10016/32638 | |
dc.identifier.uxxi | AR/0000027606 | |
dc.language.iso | eng | |
dc.publisher | Springer Nature | en |
dc.relation.projectID | Gobierno de España. MTM2016-77710-P | es |
dc.relation.projectID | Gobierno de España. SEV-2015-0554 | es |
dc.rights | © 2020, Tusi Mathematical Research Group (TMRG) | en |
dc.rights.accessRights | open access | |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Analytic function spaces | en |
dc.subject.other | Cyclic functions | en |
dc.subject.other | Optimal polynomial approximants | en |
dc.title | Polynomial approach to cyclicity for weighted ℓpA | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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