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dc.creatorHytönen, Tuomases
dc.creatorPérez Moreno, Carloses
dc.date.accessioned2016-10-10T06:45:39Z
dc.date.available2016-10-10T06:45:39Z
dc.date.issued2013
dc.identifier.citationHytönen, T. y Pérez Moreno, C. (2013). Sharp weighted bounds involving A∞. Analysis and PDE, 6 (4), 777-818.
dc.identifier.issn2157-5045es
dc.identifier.issn1948-206Xes
dc.identifier.urihttp://hdl.handle.net/11441/47242
dc.description.abstractWe improve on several weighted inequalities of recent interest by replacing a part of the Ap bounds by weaker A∞ estimates involving Wilson’s A∞ constant [w] 0 A∞ := sup Q 1 / w(Q) Z Q M(wχQ). In particular, we show the following improvement of the first author’s A2 theorem for Calderón-Zygmund operators T : kT kB(L2(w)) ≤ cT [w] 1/2 A2 [w] 0 A∞ + [w −1] 0 A∞ 1/2. Corresponding Ap type results are obtained from a new extrapolation theorem with appropriate mixed Ap A∞ bounds. This uses new two-weight estimates for the maximal function, which improve on Buckley’s classical bound.We also derive mixed A1-A∞ type results of Lerner, Ombrosi and Pérez (2009) of the form kT kB(L p(w)) ≤ cpp0 [w] 1/p A1 ([w] 0 A∞ ) 1/p 0 , 1 < p < ∞, kT f kL 1,∞(w) ≤ c[w]A1 log(e + [w] 0 A∞ )k f kL 1(w). An estimate dual to the last one is also found, as well as new bounds for commutators of singular integralses
dc.description.sponsorshipAcademy of Finlandes
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes
dc.description.sponsorshipJunta de Andalucíaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherMathematical Sciences Publisherses
dc.relation.ispartofAnalysis and PDE, 6 (4), 777-818.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectWeighted norm inequalitieses
dc.subjectAp weightses
dc.subjectSharp estimateses
dc.subjectMaximal functiones
dc.subjectCalderón-Zygmund operatorses
dc.titleSharp weighted bounds involving A∞es
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectID130166es
dc.relation.projectID133264es
dc.relation.projectID218148es
dc.relation.projectIDMTM2009-08934es
dc.relation.projectIDFQM-4745es
dc.relation.publisherversionhttp://msp.org/apde/2013/6-4/apde-v6-n4-p02-p.pdfes
dc.identifier.doi10.2140/apde.2013.6.777es
dc.contributor.groupUniversidad de Sevilla. FQM-354 Análisis Reales
idus.format.extent42 p.es
dc.journaltitleAnalysis and PDEes
dc.publication.volumen6es
dc.publication.issue4es
dc.publication.initialPage777es
dc.publication.endPage818es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/47242

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