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A note on the off-diagonal Muckenhoupt-Wheeden conjecture

dc.contributor.editorNavarro Pascual, Juan Carloses
dc.contributor.editorKaidi Lhachmi, El Amines
dc.creatorCruz Uribe, Davides
dc.creatorMartell Berrocal, José Maríaes
dc.creatorPérez Moreno, Carloses
dc.date.accessioned2017-09-21T08:01:57Z
dc.date.available2017-09-21T08:01:57Z
dc.date.issued2016
dc.identifier.citationCruz Uribe, D., Martell Berrocal, J.M., y Pérez Moreno, C. (2016). A note on the off-diagonal Muckenhoupt-Wheeden conjecture. En E.A. Kaidi Lhachmi, J.C. Navarro Pascual (Ed.), Advanced Courses of Mathematical Analysis V: Proceedings of the Fifth International School (Universidad de Almería, Almería, Spain, 12-16 September 2011) (pp. 244-252). World Scientific
dc.identifier.isbn9789814699686es
dc.identifier.isbn9789814699709es
dc.identifier.urihttp://hdl.handle.net/11441/64538
dc.description.abstractWe obtain the off-diagonal Muckenhoupt-Wheeden conjec-ture for Calder´on-Zygmund operators. Namely, given 1 < p < q < ∞ and a pair of weights (u, v), if the Hardy-Littlewood maximal functionsatisfies the following two weight inequalities: M : Lp(v) → Lq(u) and M : Lq´(u1−q´) → Lp´(v1−p´), then any Calderón-Zygmund operator Tand its associated truncatedmaximal operator T⋆ are bounded from Lp(v) to Lq(u). Additionally, as-suming only the second estimate for Mthen Tand T* map continuouslyLp(v) into Lq,∞(u). We also consider the case of generalized Haar shiftoperators and show that their off-diagonal two weight estimates are gov-erned by the corresponding estimates for the dyadic Hardy-Littlewoodmaximal function.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherWorld Scientifices
dc.relation.ispartofAdvanced Courses of Mathematical Analysis V: Proceedings of the Fifth International School (Universidad de Almería, Almería, Spain, 12-16 September 2011)es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectHaar shift operatorses
dc.subjectCalderón-Zygmund operatorses
dc.subjectTwo-weight inequalitieses
dc.subjectTesting conditionses
dc.titleA note on the off-diagonal Muckenhoupt-Wheeden conjecturees
dc.typeinfo:eu-repo/semantics/bookPartes
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.publisherversionhttp://www.worldscientific.com/doi/pdf/10.1142/9789814699693_0006es
dc.identifier.doi10.1142/9789814699693_0006es
dc.contributor.groupUniversidad de Sevilla. FQM-354: Análisis Reales
idus.format.extent7 p.es
dc.publication.initialPage244es
dc.publication.endPage252es

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