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Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

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Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.date.accessioned 2023-10-05T18:02:01Z
dc.date.available 2023-10-05T18:02:01Z
dc.date.issued 2022-10 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/197777
dc.description.abstract [EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them. Results about the solid hull and core of these spaces and distance formulas are reviewed. Differentiation and integration operators, Cesaro and Volterra operators, weighted composition and superposition operators and Toeplitz operators on these spaces are analyzed. Boundedness, compactness, the spectrum, hypercyclicity and (uniform) mean ergodicity of these operators are considered. es_ES
dc.description.sponsorship This research was partially supported by the project MCIN PID2020-119457GB-I00/AEI/10.13039/501100011033. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Weighted Banach spaces of holomorphic functions es_ES
dc.subject Associated weights es_ES
dc.subject Composition operators es_ES
dc.subject Integral operators es_ES
dc.subject Mean ergodic operators es_ES
dc.subject Hypercyclic operators es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-022-01323-4 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AGENCIA ESTATAL DE INVESTIGACION//MTM2016-76647-P//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura es_ES
dc.description.bibliographicCitation Bonet Solves, JA. (2022). Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 116(4):1-40. https://doi.org/10.1007/s13398-022-01323-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-022-01323-4 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 40 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 116 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\483319 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
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