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.date.accessioned | 2022-07-28T07:42:15Z | |
dc.date.available | 2022-07-28T07:42:15Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Campo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2020). Compactness in quasi-Banach function spaces with applications to L1 of the semivariation of a vector measure. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (3, art. nº112) | |
dc.identifier.issn | 1578-7303 | es |
dc.identifier.uri | https://hdl.handle.net/11441/135937 | |
dc.description.abstract | We characterize the relatively compact subsets of the order continuous part Ea of a quasi Banach function space E showing that the strong connection between compactness, uniform
absolute continuity, uniform integrability, almost order boundedness and L-weak compact ness that appears in the classical setting of Lebesgue spaces remains almost invariant in this
new context under mild assumptions. We also present a de la Vallée–Poussin type theorem
in this context that allows us to locate each compact subset of Ea as a compact subset of a
smaller quasi-Banach Orlicz space E
Φ . Our results generalize the previous known results
for the Banach function spaces L
1
(m) and L
1
w(m) associated to a vector measure m and
moreover they can also be applied to the quasi-Banach function space L
1
( m ) associated
to the semivariation of m. | es |
dc.description.sponsorship | Junta de Andalucía FQM-133 | es |
dc.format | application/pdf | es |
dc.format.extent | 17 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (3, art. nº112) | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Orlicz spaces | es |
dc.subject | Vector measures | es |
dc.subject | Semivariation | es |
dc.subject | Uniform integrability | es |
dc.subject | Uniform absolute continuity | es |
dc.subject | Compactness | es |
dc.subject | De la Vallée–Poussin’s theorem | es |
dc.title | Compactness in quasi-Banach function spaces with applications to L1 of the semivariation of a vector measure | 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 | FQM-133 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s13398-020-00840-4 | es |
dc.identifier.doi | 10.1007/s13398-020-00840-4 | es |
dc.contributor.group | Universidad de Sevilla. FQM-133: Investigación en Análisis Funcional | es |
dc.journaltitle | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | es |
dc.publication.volumen | 114 | es |
dc.publication.issue | 3, art. nº112 | es |
dc.contributor.funder | Junta de Andalucía | es |