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Maximal Factorization of Operators Acting in Kothe-Bochner Spaces

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Maximal Factorization of Operators Acting in Kothe-Bochner Spaces

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dc.contributor.author Calabuig, J. M. es_ES
dc.contributor.author Fernández-Unzueta, M. es_ES
dc.contributor.author Galaz-Fontes, F. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2022-06-16T18:05:51Z
dc.date.available 2022-06-16T18:05:51Z
dc.date.issued 2021-01 es_ES
dc.identifier.issn 1050-6926 es_ES
dc.identifier.uri http://hdl.handle.net/10251/183411
dc.description.abstract [EN] Using some representation results for Kothe-Bochner spaces of vector valued functions by means of vector measures, we analyze the maximal extension for some classes of linear operators acting in these spaces. A factorization result is provided, and a specific representation of the biggest vector valued function space to which the operator can be extended is given. Thus, we present a generalization of the optimal domain theorem for some types of operators on Banach function spaces involving domination inequalities and compactness. In particular, we show that an operator acting in Bochner spaces of p-integrable functions for any 1 es_ES
dc.description.sponsorship First author is supported by Grant MTM2011-23164 of the Ministerio de Economia y Competitividad (Spain). Second author is supported by Grant 284110 of CONACyT (Mexico). Fourth author is supported by Grant MTM2016-77054-C2-1-P of the Ministerio de Ciencia, Innovacion y Universidades, Agencia Estatal de Investigaciones (Spain) and FEDER. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Journal of Geometric Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Kothe Bochner function space es_ES
dc.subject Mixed norm space es_ES
dc.subject Tensor product es_ES
dc.subject Vector measure es_ES
dc.subject Operator es_ES
dc.subject Bilinear es_ES
dc.subject Compactness es_ES
dc.subject Fourier type es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Maximal Factorization of Operators Acting in Kothe-Bochner Spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s12220-019-00290-4 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Ministerio de Educación y Ciencia//MTM2011-23164//ANALISIS DE FOURIER MULTILINEAL, VECTORIAL Y SUS APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONACYT//284110/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Calabuig, JM.; Fernández-Unzueta, M.; Galaz-Fontes, F.; Sánchez Pérez, EA. (2021). Maximal Factorization of Operators Acting in Kothe-Bochner Spaces. Journal of Geometric Analysis. 31(1):560-578. https://doi.org/10.1007/s12220-019-00290-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s12220-019-00290-4 es_ES
dc.description.upvformatpinicio 560 es_ES
dc.description.upvformatpfin 578 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 31 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\458359 es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
dc.contributor.funder MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD es_ES
dc.contributor.funder Consejo Nacional de Ciencia y Tecnología, México es_ES
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