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 | 2022-07-28T07:26:35Z | |
dc.date.available | 2022-07-28T07:26:35Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Campo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F., Naranjo Naranjo, F.J. y Sánchez Pérez, E.A. (2020). Lorentz spaces of vector measures and real interpolation of operators. Quaestiones Mathematicae, 43 (5-6), 591-609. | |
dc.identifier.issn | 1607-3606 | es |
dc.identifier.uri | https://hdl.handle.net/11441/135935 | |
dc.description.abstract | Using the representation of the real interpolation of spaces of p-integrable
functions with respect to a vector measure, we show new factorization theorems for p th power factorable operators acting in interpolation couples of Banach function
spaces. The recently introduced Lorentz spaces of the semivariation of vector mea sures play a central role in the resulting factorization theorems. We apply our results
to analyze extension of operators from classical weighted Lebesgue L
p
-spaces — in
general with different weights — that can be extended to their q-th powers. This is the
case, for example, of the convolution operators defined by L
p
-improving mea-sures
acting in Lebesgue L
p
-spaces or Lorentz spaces. A new representation theorem for
Banach lattices with a special lattice geometric property, as a space of vector measure
integrable functions, is also proved. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2016-77054-C2-1-P | es |
dc.format | application/pdf | es |
dc.format.extent | 19 | es |
dc.language.iso | eng | es |
dc.publisher | Taylor and Francis | es |
dc.relation.ispartof | Quaestiones Mathematicae, 43 (5-6), 591-609. | |
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 | Vector measures | es |
dc.subject | Real interpolation | es |
dc.subject | Factorable operator | es |
dc.subject | Bidual concave operator | es |
dc.subject | Improving measures | es |
dc.title | Lorentz spaces of vector measures and real interpolation of operators | 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 | MTM2016-77054-C2-1-P2 | es |
dc.relation.publisherversion | https://www.tandfonline.com/doi/abs/10.2989/16073606.2019.1605413 | es |
dc.identifier.doi | 10.2989/16073606.2019.1605413 | es |
dc.contributor.group | Universidad de Sevilla. FQM-133: Investigación en Análisis Funcional | es |
dc.journaltitle | Quaestiones Mathematicae | es |
dc.publication.volumen | 43 | es |
dc.publication.issue | 5-6 | es |
dc.publication.initialPage | 591 | es |
dc.publication.endPage | 609 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |