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 | 2022-06-22T08:54:59Z | |
dc.date.available | 2022-06-22T08:54:59Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Campo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2021). Orlicz spaces associated to a quasi‑Banach function space: applications to vector measures and interpolation. Collectanea Mathematica, 72 (3), 481-499. | |
dc.identifier.issn | 0010-0757 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134579 | |
dc.description.abstract | The Orlicz spaces XΦ associated to a quasi-Banach function space X are defined by replacing the role of the space L1 by X in the classical construction of Orlicz spaces. Given a vector measure m, we can apply this construction to the spaces L1w(m), L1(m) and L1(∥m∥) of integrable functions (in the weak, strong and Choquet sense, respectively) in order to obtain the known Orlicz spaces LΦw(m) and LΦ(m) and the new ones LΦ(∥m∥). Therefore, we are providing a framework where dealing with different kind of Orlicz spaces in a unified way. Some applications to complex interpolation are also given. | es |
dc.description.sponsorship | Junta de Andalucía FQM-133. | es |
dc.format | application/pdf | es |
dc.format.extent | 19 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Collectanea Mathematica, 72 (3), 481-499. | |
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 | Quasi-Banach function spaces | es |
dc.subject | Vector measures | es |
dc.subject | Complex interpolation | es |
dc.title | Orlicz spaces associated to a quasi‑Banach function space: applications to vector measures and interpolation | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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/s13348-020-00295-1 | es |
dc.identifier.doi | 10.1007/s13348-020-00295-1 | es |
dc.journaltitle | Collectanea Mathematica | es |
dc.publication.volumen | 72 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 481 | es |
dc.publication.endPage | 499 | es |
dc.contributor.funder | Junta de Andalucía | es |