dc.creator | Carro Rosell, María Jesús | es |
dc.creator | Pérez Moreno, Carlos | es |
dc.creator | Soria de Diego, Fernando | es |
dc.creator | Soria de Diego, Francisco Javier | es |
dc.date.accessioned | 2016-06-16T09:13:19Z | |
dc.date.available | 2016-06-16T09:13:19Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Carro Rosell, M.J., Pérez Moreno, C., Soria de Diego, F. y Soria de Diego, F.J. (2005). Maximal functions and the control of weighted inequalities for the fractional integral operator. Indiana University Mathematics Journal, 54 (3), 627-644. | |
dc.identifier.issn | 0022-2518 | es |
dc.identifier.issn | 1943-5258 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42383 | |
dc.description.abstract | We study weak-type (1, 1) weighted inequalities for the fractional integral operator Iα. We show that the fractional maximal operator Mα controls these inequalities when the weight is radially decreasing. However, we exhibit some counterexamples which show that Mα is not appropriate for this control on general weights. We do provide, nevertheless, some positive results related to this problem by considering other suitable maximal
functions. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Indiana University | es |
dc.relation.ispartof | Indiana University Mathematics Journal, 54 (3), 627-644. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | weighted inequalities | es |
dc.subject | maximal operator | es |
dc.subject | fractional integral | es |
dc.title | Maximal functions and the control of weighted inequalities for the fractional integral operator | 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 Análisis Matemático | es |
dc.relation.publisherversion | http://dx.doi.org/10.1512/iumj.2005.54.2714 | es |
dc.identifier.doi | 10.1512/iumj.2005.54.2714 | es |
dc.journaltitle | Indiana University Mathematics Journal | es |
dc.publication.volumen | 54 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 627 | es |
dc.publication.endPage | 644 | es |
dc.relation.publicationplace | Bloomington | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42383 | |