dc.creator | Campo Acosta, Ricardo del | es |
dc.creator | Fernández Carrión, Antonio | es |
dc.creator | Mayoral Masa, Fernando | es |
dc.creator | Naranjo Naranjo, Francisco José | es |
dc.creator | Sánchez Pérez, Enrique A. | es |
dc.date.accessioned | 2022-07-26T10:39:40Z | |
dc.date.available | 2022-07-26T10:39:40Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Campo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F., Naranjo Naranjo, F.J. y Sánchez Pérez, E.A. (2011). Interpolation of Vector Measures. Acta Mathematica Sinica, English Series, 27 (1), 119-134. | |
dc.identifier.issn | 1439-8516 | es |
dc.identifier.uri | https://hdl.handle.net/11441/135784 | |
dc.description.abstract | Let (Ω, Σ) be a measurable space and m 0: Σ → X 0 and m 1: Σ → X 1 be positive vector measures with values in the Banach Köthe function spaces X 0 and X 1. If 0 < α < 1, we define a new vector measure [m 0, m 1] α with values in the Calderón lattice interpolation space X 1−ga0 X α1 and we analyze the space of integrable functions with respect to measure [m 0, m 1] α in order to prove suitable extensions of the classical Stein-Weiss formulas that hold for the complex interpolation of L p-spaces. Since each p-convex order continuous Köthe function space with weak order unit can be represented as a space of p-integrable functions with respect to a vector measure, we provide in this way a technique to obtain representations of the corresponding complex interpolation spaces. As applications, we provide a Riesz-Thorin theorem for spaces of p-integrable functions with respect to vector measures and a formula for representing the interpolation of the injective tensor product of such spaces. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2006–11690–C02 | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2009-14483-C02 | es |
dc.format | application/pdf | es |
dc.format.extent | 16 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Acta Mathematica Sinica, English Series, 27 (1), 119-134. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Interpolation | es |
dc.subject | Banach function space | es |
dc.subject | Vector measures | es |
dc.title | Interpolation of Vector Measures | 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.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | MTM2006–11690–C02 | es |
dc.relation.projectID | MTM2009-14483-C02 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s10114-011-9542-8 | es |
dc.identifier.doi | 10.1007/s10114-011-9542-8 | es |
dc.contributor.group | Universidad de Sevilla. FQM-133: Investigación en Análisis Funcional | es |
dc.journaltitle | Acta Mathematica Sinica, English Series | es |
dc.publication.volumen | 27 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 119 | es |
dc.publication.endPage | 134 | es |
dc.identifier.sisius | 6430588 | es |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | es |