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dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.date.accessioned | 2018-06-01T04:21:09Z | |
dc.date.available | 2018-06-01T04:21:09Z | |
dc.date.issued | 2017 | es_ES |
dc.identifier.issn | 0001-9054 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/103129 | |
dc.description.abstract | [EN] Consider a linear and continuous operator T between Banach function spaces. We prove that under certain requirements an integral inequality for T is equivalent to a factorization of T through a specific kernel operator: in other words, the operator T has what we call a Maharam-type kernel representation. In the case that the inequality provides a domination involving trigonometric functions, a special factorization through the Fourier operator is given. We apply this result to study the problem that motivates the paper: the approximation of functions in L2[0, 1] by means of trigonometric series whose Fourier coefficients are given by weighted trigonometric integrals. | es_ES |
dc.description.sponsorship | This research has been supported by MTM2016-77054-C2-1-P (Ministerio de Economia, Industria y Competitividad, Spain). | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Aequationes Mathematicae | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Maharam representation | es_ES |
dc.subject | Operator | es_ES |
dc.subject | Trigonometric series | es_ES |
dc.subject | Domination | es_ES |
dc.subject | Hilbert spaces | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Maharam-type kernel representation for operators with a trigonometric domination | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s00010-017-0507-6 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.date.embargoEndDate | 2018-12-31 | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Sánchez Pérez, EA. (2017). Maharam-type kernel representation for operators with a trigonometric domination. Aequationes Mathematicae. 91(6):1073-1091. https://doi.org/10.1007/s00010-017-0507-6 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s00010-017-0507-6 | es_ES |
dc.description.upvformatpinicio | 1073 | es_ES |
dc.description.upvformatpfin | 1091 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 91 | es_ES |
dc.description.issue | 6 | es_ES |
dc.relation.pasarela | S\353452 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
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