On approximation numbers of composition operators

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis

doi:10.1016/j.jat.2011.12.003

Article

dc.creator	Li, Daniel	es
dc.creator	Queffélec, Hervé	es
dc.creator	Rodríguez Piazza, Luis	es
dc.date.accessioned	2016-09-29T11:08:15Z
dc.date.available	2016-09-29T11:08:15Z
dc.date.issued	2012-04
dc.identifier.citation	Li, D., Queffélec, H. y Rodríguez Piazza, L. (2012). On approximation numbers of composition operators. Journal of Approximation Theory, 164 (4), 431-459.
dc.identifier.issn	0021-9045	es
dc.identifier.uri	http://hdl.handle.net/11441/46366
dc.description.abstract	We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit disk can tend to 0 arbitrarily slowly, but that they never tend quickly to 0: they grow at least exponentially, and this speed of convergence is only obtained for symbols which do not approach the unit circle. We also give an upper bounds and explicit an example.	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Approximation Theory, 164 (4), 431-459.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Approximation number	es
dc.subject	Bergman space	es
dc.subject	Carleson measure	es
dc.subject	Composition operator	es
dc.subject	Hardy space	es
dc.subject	Interpolation sequence	es
dc.subject	Reproducing kernel	es
dc.subject	Weighted Bergman space	es
dc.subject	Weighted shift	es
dc.title	On approximation numbers of composition operators	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Análisis Matemático	es
dc.relation.projectID	MTM 2009-08934	es
dc.relation.publisherversion	http://ac.els-cdn.com/S0021904511002103/1-s2.0-S0021904511002103-main.pdf?_tid=a632bd26-8634-11e6-8d96-00000aacb360&acdnat=1475147316_d31adc97f657548a29d66fa8da765010	es
dc.identifier.doi	10.1016/j.jat.2011.12.003	es
dc.contributor.group	Universidad de Sevilla. FQM104: Analisis Matemático	es
idus.format.extent	34 p.	es
dc.journaltitle	Journal of Approximation Theory	es
dc.publication.volumen	164	es
dc.publication.issue	4	es
dc.publication.initialPage	431	es
dc.publication.endPage	459	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/46366
dc.contributor.funder	Ministerio de Ciencia e Innovación (MICIN). España

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