dc.creator | Cruz Uribe, David | es |
dc.creator | Martell Berrocal, José María | es |
dc.creator | Pérez Moreno, Carlos | es |
dc.date.accessioned | 2016-10-10T09:56:04Z | |
dc.date.available | 2016-10-10T09:56:04Z | |
dc.date.issued | 2004-08-15 | |
dc.identifier.citation | Cruz Uribe, D., Martell Berrocal, J.M. y Pérez Moreno, C. (2004). Extrapolation from A∞ weights and applications. Journal of Functional Analysis, 213 (2), 412-439. | |
dc.identifier.issn | 0022-1236 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47283 | |
dc.description.abstract | We generalize the Ap extrapolation theorem of Rubio de Francia to A∞ weights in the context of Muckenhoupt bases. Our result has several important features. First, it can be used to prove weak endpoint inequalities starting from strong-type inequalities, something which is impossible using the classical result. Second, it provides an alternative to the technique of good-λ inequalities for proving Lp norm inequalities relating operators. Third, it yields vector-valued inequalities without having to use the theory of Banach space valued operators. We give a number of applications to maximal functions, singular integrals, potential operators, commutators, multilinear Calder´on-Zygmund operators, and multiparameter fractional integrals. In particular, we give new proofs, which completely avoid the
good-λ inequalities, of Coifman’s inequality relating singular integrals and the maximal operator, of the Fefferman-Stein inequality relating the maximal operator and the sharp maximal operator, and the Muckenhoupt-Wheeden inequality relating the fractional integral operator and the fractional maximal operator. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Functional Analysis, 213 (2), 412-439. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Good-λ inequalities | es |
dc.subject | Extrapolation | es |
dc.subject | Muckenhoupt weights | es |
dc.subject | Singular integrals | es |
dc.subject | Commutators | es |
dc.subject | Potential operators | es |
dc.subject | Maximal operators | es |
dc.title | Extrapolation from A∞ weights and applications | 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 | BFM2001-0189 | es |
dc.relation.projectID | BFM2002-02204 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0022123603003379/1-s2.0-S0022123603003379-main.pdf?_tid=86d10836-8ecf-11e6-9ba3-00000aab0f01&acdnat=1476093445_c3e5154752df7ef36e54c245ed92c8a3 | es |
dc.identifier.doi | 10.1016/j.jfa.2003.09.002 | es |
dc.contributor.group | Universidad de Sevilla. FQM-354 Análisis Real | es |
idus.format.extent | 26 p. | es |
dc.journaltitle | Journal of Functional Analysis | es |
dc.publication.volumen | 213 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 412 | es |
dc.publication.endPage | 439 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47283 | |
dc.contributor.funder | Ministerio de Ciencia y Tecnología (MCYT). España | |