dc.creator | Delgado Garrido, Olvido | es |
dc.creator | Mastylo, Mieczyslaw | es |
dc.creator | Sánchez Pérez, E. A. | es |
dc.date.accessioned | 2021-01-14T09:17:54Z | |
dc.date.available | 2021-01-14T09:17:54Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Delgado Garrido, O., Mastylo, M. y Sánchez Pérez, E.A. (2019). Strong Factorizations of Operators with Applications to Fourier and Cesàro Transforms. Michigan Mathematical Journal, 68 (1), 167-192. | |
dc.identifier.issn | 0026-2285 | es |
dc.identifier.uri | https://hdl.handle.net/11441/103721 | |
dc.description.abstract | Consider two continuous linear operators T : X1(μ) ! Y1( ) and S : X2(μ) !
Y2( ) between Banach function spaces related to different -finite measures μ and . We
characterize by means of weighted norm inequalities when T can be strongly factored through
S, that is, when there exist functions g and h such that T (f) = gS(hf) for all f 2 X1(μ).
For the case of spaces with Schauder basis our characterization can be improved, as we show
when S is for instance the Fourier operator, or the Ces`aro operator. Our aim is to study
the case when the map T is besides injective. Then we say that it is a representing operator
—in the sense that it allows to represent each elements of the Banach function space X(μ)
by a sequence of generalized Fourier coefficients—, providing a complete characterization
of these maps in terms of weighted norm inequalities. Some examples and applications
involving recent results on the Hausdorff-Young and the Hardy-Littlewood inequalities for
operators on weighted Banach function spaces are also provided. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2015-65888-C4-1-P | es |
dc.description.sponsorship | Junta de Andalucía FQM-7276 | es |
dc.format | application/pdf | es |
dc.format.extent | 23 | es |
dc.language.iso | eng | es |
dc.publisher | University of Michigan, Department of Mathematics | es |
dc.relation.ispartof | Michigan Mathematical Journal, 68 (1), 167-192. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Banach function space | es |
dc.subject | Strong factorization | es |
dc.subject | Schauder basis | es |
dc.subject | Fourier operator | es |
dc.subject | Representing operator | es |
dc.subject | Cesáro operator | es |
dc.title | Strong Factorizations of Operators with Applications to Fourier and Cesàro Transforms | 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 Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2015-65888-C4-1-P | es |
dc.relation.projectID | FQM-7276 | es |
dc.relation.publisherversion | https://projecteuclid.org/euclid.mmj/1548817532 | es |
dc.identifier.doi | 10.1307/mmj/1548817532 | es |
dc.journaltitle | Michigan Mathematical Journal | es |
dc.publication.volumen | 68 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 167 | es |
dc.publication.endPage | 192 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Junta de Andalucía | es |