dc.creator | Hytönen, Tuomas | es |
dc.creator | Pérez Moreno, Carlos | es |
dc.creator | Rela, Ezequiel | es |
dc.date.accessioned | 2016-09-15T08:14:35Z | |
dc.date.available | 2016-09-15T08:14:35Z | |
dc.date.issued | 2012-12-15 | |
dc.identifier.citation | Hytönen, T., Pérez Moreno, C. y Rela, E. (2012). Sharp reverse Hölder property for A∞ weights on spaces of homogeneous type. Journal of Functional Analysis, 263 (12), 3883-3899. | |
dc.identifier.issn | 0022-1236 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45011 | |
dc.description.abstract | In this article we present a new proof of a sharp Reverse Hölder Inequality for A∞ weights. Then we derive two applications: a precise open property of Muckenhoupt classes and, as a consequence of this last result, we obtain a simple proof of a sharp weighted bound for the Hardy-Littlewood maximal function involving A∞ constants: kMkLp(w) ≤ c 1 p − 1 [w]Ap [σ]A∞ 1/p ,
where 1 < p < ∞, σ = w 1 1−p and c is a dimensional constant. Our
approach allows us to extend the result to the context of spaces of homogeneous type and prove a weak Reverse H¨older Inequality which is
still sufficient to prove the open property for Ap classes and the Lp
boundedness of the maximal function. In this latter case, the constant c
appearing in the norm inequality for the maximal function depends only
on the doubling constant of the measure µ and the geometric constant
κ of the quasimetric. | es |
dc.description.sponsorship | European Research Council | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Functional Analysis, 263 (12), 3883-3899. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Space of homogeneous type | es |
dc.subject | Muckenhoupt weights | es |
dc.subject | Reverse Hölder | es |
dc.subject | Maximal functions | es |
dc.title | Sharp reverse Hölder property for A∞ weights on spaces of homogeneous type | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | 130166 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/278558 | es |
dc.relation.projectID | MTM2009-08934 | es |
dc.relation.projectID | FQM-4745 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S002212361200362X/1-s2.0-S002212361200362X-main.pdf?_tid=ff4702c4-7b1b-11e6-9224-00000aacb35e&acdnat=1473927265_360519942a356656b2951af23bacff5e | es |
dc.identifier.doi | 10.1016/j.jfa.2012.09.013 | es |
dc.contributor.group | Universidad de Sevilla. FQM-354: Análisis Real | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Journal of Functional Analysis | es |
dc.publication.volumen | 263 | es |
dc.publication.issue | 12 | es |
dc.publication.initialPage | 3883 | es |
dc.publication.endPage | 3899 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45011 | |