dc.creator | Pérez Moreno, Carlos | es |
dc.date.accessioned | 2016-11-14T08:56:58Z | |
dc.date.available | 2016-11-14T08:56:58Z | |
dc.date.issued | 2000 | |
dc.identifier.citation | Pérez Moreno, C. (2000). Sharp weighted inequalities for the vector-valued maximal function. Transactions of the American Mathematical Society, 352 (7), 3265-3288. | |
dc.identifier.issn | 0002-9947 | es |
dc.identifier.issn | 1088-6850 | es |
dc.identifier.uri | http://hdl.handle.net/11441/48510 | |
dc.description.abstract | We prove in this paper some sharp weighted inequalities for the
vector-valued maximal function Mq of Fefferman and Stein defined by
Mqf(x) = X∞ i=1 (M fi(x))q !1/q, where M is the Hardy-Littlewood maximal function. As a consequence we derive the main result establishing that in the range 1 <q<p< ∞ there exists a constant C such that Z Rn Mqf(x)p w(x)dx ≤ C Z Rn |f(x)|p q M[ p q ]+1w(x)dx. Furthermore the result is sharp since M[ p
q ]+1 cannot be replaced by M[ p q ]. We also show the following endpoint estimate w({x ∈ Rn : Mqf(x) > λ}) ≤ C λ Z Rn |f(x)|q Mw(x)dx, where C is a constant independent of λ. | es |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Transactions of the American Mathematical Society, 352 (7), 3265-3288. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Sharp weighted inequalities for the vector-valued maximal function | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | Corregido como 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 | PB940192 | es |
dc.relation.publisherversion | http://www.ams.org/journals/tran/2000-352-07/S0002-9947-99-02573-8/S0002-9947-99-02573-8.pdf | es |
dc.identifier.doi | 10.1090/S0002-9947-99-02573-8 | es |
dc.contributor.group | Universidad de Sevilla. FQM354: Análisis Real | es |
idus.format.extent | 26 p. | es |
dc.journaltitle | Transactions of the American Mathematical Society | es |
dc.publication.volumen | 352 | es |
dc.publication.issue | 7 | es |
dc.publication.initialPage | 3265 | es |
dc.publication.endPage | 3288 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/48510 | |
dc.contributor.funder | Dirección General de Investigación Científica y Técnica (DGICYT). España | |