dc.creator | Lefèvre, Pascal | es |
dc.creator | Li, Daniel | es |
dc.creator | Queffélec, Hervé | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.date.accessioned | 2016-09-29T10:32:59Z | |
dc.date.available | 2016-09-29T10:32:59Z | |
dc.date.issued | 2013-02-15 | |
dc.identifier.citation | Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2013). Compact composition operators on the Dirichlet space and capacity of sets of contact points. Journal of Functional Analysis, 264 (4), 895-919. | |
dc.identifier.issn | 0022-1236 | es |
dc.identifier.uri | http://hdl.handle.net/11441/46350 | |
dc.description.abstract | We prove several results about composition operators on the Dirichlet space D⁎. For every compact set K⊆∂D of logarithmic capacity , there exists a Schur function φ both in the disk algebra A(D) and in D⁎ such that the composition operator Cφ is in all Schatten classes Sp(D⁎), p>0, and for which . For every bounded composition operator Cφ on D⁎ and every ξ∈∂D, the logarithmic capacity of is 0. Every compact composition operator Cφ on D⁎ is compact on BΨ2 and on HΨ2; in particular, Cφ is in every Schatten class Sp, p>0, both on H2 and on B2. There exists a Schur function φ such that Cφ is compact on HΨ2, but which is not even bounded on D⁎. There exists a Schur function φ such that Cφ is compact on D⁎, but in no Schatten class Sp(D⁎). | 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 Functional Analysis, 264 (4), 895-919. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Bergman space | es |
dc.subject | Bergman-Orlicz space | es |
dc.subject | Composition operator | es |
dc.subject | Dirichlet space | es |
dc.subject | Hardy space | es |
dc.subject | Hardy-Orlicz space | es |
dc.subject | Logarithmic capacity | es |
dc.subject | Schatten classes | es |
dc.title | Compact composition operators on the Dirichlet space and capacity of sets of contact points | es |
dc.type | info:eu-repo/semantics/article | es |
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/S002212361200448X/1-s2.0-S002212361200448X-main.pdf?_tid=6c9b48d0-862f-11e6-89eb-00000aab0f26&acdnat=1475145072_43186bf0141f12ca66b4e572507baabe | es |
dc.identifier.doi | 10.1016/j.jfa.2012.12.004 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matemático | es |
idus.format.extent | 23 p. | es |
dc.journaltitle | Journal of Functional Analysis | es |
dc.publication.volumen | 264 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 895 | es |
dc.publication.endPage | 919 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/46350 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |