dc.creator | Lefèvre, Pascal | es |
dc.creator | Li, Daniel | es |
dc.creator | Queffélec, Hervé | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.date.accessioned | 2018-02-01T07:41:51Z | |
dc.date.available | 2018-02-01T07:41:51Z | |
dc.date.issued | 2015-04 | |
dc.identifier.citation | Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2015). Approximation numbers of composition operators on the Dirichlet space. Arkiv för Matematik, 53 (1), 155-175. | |
dc.identifier.issn | 0004-2080 | es |
dc.identifier.issn | 1871-2487 | es |
dc.identifier.uri | https://hdl.handle.net/11441/69848 | |
dc.description.abstract | We study the decay of approximation numbers of compact composition
operators on the Dirichlet space. We give upper and lower bounds for
these numbers. In particular, we improve on a result of O. El-Fallah, K. Kellay,
M. Shabankhah and A. Youssfi, on the set of contact points with the unit
circle of a compact symbolic composition operator acting on the Dirichlet space D. We extend their results in two directions: first, the contact only takes place at the point 1. Moreover, the approximation numbers of the operator can be arbitrarily sub-exponentially small. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Arkiv för Matematik, 53 (1), 155-175. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Approximation numbers | es |
dc.subject | Capacity | es |
dc.subject | Composition operator | es |
dc.subject | Cusp map | es |
dc.subject | Dirichlet space | es |
dc.subject | Schatten classes | es |
dc.title | Approximation numbers of composition operators on the Dirichlet space | 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 2012-30748 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs11512-013-0194-z.pdf | es |
dc.identifier.doi | 10.1007/s11512-013-0194-z | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Análisis Matemático | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | Arkiv för Matematik | es |
dc.publication.volumen | 53 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 155 | es |
dc.publication.endPage | 175 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |