dc.creator | Lerner, Andrei K. | es |
dc.creator | Ombrosi, Sheldy J. | es |
dc.creator | Pérez Moreno, Carlos | es |
dc.creator | Torres, Rodolfo H. | es |
dc.creator | Trujillo González, Rodrigo Francisco | es |
dc.date.accessioned | 2016-10-10T10:22:53Z | |
dc.date.available | 2016-10-10T10:22:53Z | |
dc.date.issued | 2009-03-01 | |
dc.identifier.citation | Lerner, A.K., Ombrosi, S.J., Pérez Moreno, C., Torres, R.H. y Trujillo González, R.F. (2009). New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory. Advances in Mathematics, 220 (4), 1222-1264. | |
dc.identifier.issn | 0001-8708 | es |
dc.identifier.issn | 1090-2082 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47293 | |
dc.description.abstract | A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller that the m-fold product of the Hardy-Littlewood maximal function is studied. The operator is used to obtain a precise control on multilinear singular integral operators of Calderón-Zygmund type and to build a theory of weights adapted to the multilinear setting. A natural variant of the operator which is useful to control certain commutators of multilinear Calder´on-Zygmund operators with BMO functions is then considered. The optimal range of strong type estimates, a sharp end-point estimate, and weighted norm inequalities involving both the classical Muckenhoupt weights and the new multilinear ones are also obtained for the commutators. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | National Science Foundation | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Advances in Mathematics, 220 (4), 1222-1264. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Multilinear singular integrals | es |
dc.subject | Calderón-Zygmund theory | es |
dc.subject | Maximal operators | es |
dc.subject | Weighted norm inequalities | es |
dc.subject | Commutators | es |
dc.title | New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM2006-05622 | es |
dc.relation.projectID | MTM2005-07347 | es |
dc.relation.projectID | OISE 0126272 | es |
dc.relation.projectID | DMS 0400423 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0001870808003198/1-s2.0-S0001870808003198-main.pdf?_tid=3ce770e4-8ed3-11e6-adb7-00000aacb362&acdnat=1476095039_ec89cbd2ffb2a568a750dff8b48ba80f | es |
dc.identifier.doi | 10.1016/j.aim.2008.10.014 | es |
dc.contributor.group | Universidad de Sevilla. FQM-354 Análisis Real | es |
idus.format.extent | 41 p. | es |
dc.journaltitle | Advances in Mathematics | es |
dc.publication.volumen | 220 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1222 | es |
dc.publication.endPage | 1264 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47293 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |
dc.contributor.funder | National Science Foundation (NSF). United States | |