dc.creator | Li, Daniel | es |
dc.creator | Queffélec, Hervé | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.date.accessioned | 2016-09-29T10:52:50Z | |
dc.date.available | 2016-09-29T10:52:50Z | |
dc.date.issued | 2013-08 | |
dc.identifier.citation | Li, D. y Queffélec, H. (2013). Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk. Complex Analysis and Operator Theory, 7 (4), 1371-1387. | |
dc.identifier.issn | 1661-8254 | es |
dc.identifier.issn | 1661-8262 | es |
dc.identifier.uri | http://hdl.handle.net/11441/46358 | |
dc.description.abstract | We prove that, for every α>−1, the pull-back measure φ(Aα) of the measure dAα(z)=(α+1)(1−|z|2)αdA(z), where A is the normalized area measure on the unit disk D, by every analytic self-map φ:D→D is not only an (α+2)-Carleson measure, but that the measure of the Carleson windows of size εhεh is controlled by εα+2 times the measure of the corresponding window of size h. This means that the property of being an (α+2)-Carleson measure is true at all infinitesimal scales. We give an application by characterizing the compactness of composition operators on weighted Bergman-Orlicz spaces. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Complex Analysis and Operator Theory, 7 (4), 1371-1387. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Calderón-Zygmund decomposition | es |
dc.subject | Carleson measure | es |
dc.subject | Weighted Bergman space | es |
dc.title | Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk | 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://download.springer.com/static/pdf/517/art%253A10.1007%252Fs11785-012-0244-8.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs11785-012-0244-8&token2=exp=1475147415~acl=%2Fstatic%2Fpdf%2F517%2Fart%25253A10.1007%25252Fs11785-012-0244-8.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs11785-012-0244-8*~hmac=027633f16e5082c9edb1892d9d3eee203a43bf19c4151475ea99c4e55086f5ac | es |
dc.identifier.doi | 10.1007/s11785-012-0244-8 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matemático | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Complex Analysis and Operator Theory | es |
dc.publication.volumen | 7 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1371 | es |
dc.publication.endPage | 1387 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/46358 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |