dc.creator | Grafakos, Loukas | es |
dc.creator | Liu, Liguang | es |
dc.creator | Pérez Moreno, Carlos | es |
dc.creator | Torres, Rodolfo H. | es |
dc.date.accessioned | 2016-06-15T12:12:19Z | |
dc.date.available | 2016-06-15T12:12:19Z | |
dc.date.issued | 2011-01 | |
dc.identifier.citation | Grafakos, L., Liu, L., Pérez Moreno, C. y Torres, R.H. (2011). The multilinear strong maximal function. Journal of Geometric Analysis, 21 (1), 118-149. | |
dc.identifier.issn | 1050-6926 | es |
dc.identifier.issn | 1559-002X | es |
dc.identifier.uri | http://hdl.handle.net/11441/42364 | |
dc.description.abstract | A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen,
Marcinkiewicz, and Zygmund theorem is obtained. Conditions that characterize the boundedness of this multivariable operator on products of weighted Lebesgue spaces equipped with multiple weights are obtained. Results for other multi(sub)linear maximal functions associated with bases of open sets are studied too. Bilinear interpolation results between distributional estimates, such as those satisfied by the multivariable
strong maximal function, are also proved. | es |
dc.description.sponsorship | National Science Foundation (United States) | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | University of Kansas | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Journal of Geometric Analysis, 21 (1), 118-149. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Maximal operators | es |
dc.subject | weighted norm inequalities | es |
dc.subject | multilinear singular integrals | es |
dc.subject | Calder´on-Zygmund theory | es |
dc.subject | commutators | es |
dc.title | The multilinear strong maximal function | 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.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 Análisis Matemático | es |
dc.relation.projectID | DMS 0900946 | es |
dc.relation.projectID | MTM2009-08934 | es |
dc.relation.projectID | DMS 0800492 | es |
dc.identifier.doi | http://dx.doi.org/10.1007/s12220-010-9174-8 | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | Journal of Geometric Analysis | es |
dc.publication.volumen | 21 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 118 | es |
dc.publication.endPage | 149 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42364 | |