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dc.contributor.authorCruz-Uribe, D.
dc.contributor.authorMartell, J.M.
dc.contributor.authorPérez, C.
dc.dateinfo:eu-repo/date/embargoEnd/2017-06-30
dc.dateinfo:eu-repo/date/embargoEnd/2017-07-01
dc.date.accessioned2016-07-07T15:43:17Z
dc.date.available2016-07-07T15:43:17Z
dc.date.issued2016-07-01
dc.identifier.issn2010-1945
dc.identifier.urihttp://hdl.handle.net/20.500.11824/300
dc.description.abstractWe obtain the off-diagonal Muckenhoupt-Wheeden conjecture for Calderón-Zygmund operators. Namely, given $1 < p < q < \infty$ and a pair of weights $(u; v)$, if the Hardy-Littlewood maximal function satisfies the following two weight inequalities: $$ M:L^p(v) \to L^q(u) \quad \mbox{and} \quad M: L^{q'} (u^{1-q'}) \to (v^{1-p'} ); $$ then any Calderón-Zygmund operator $T$ and its associated truncated maximal operator $T_{*}$ are bounded from $M:L^p(v)$ to $L^q(u)$. Additionally, assuming only the second estimate for $M$ then $T$ and $T_{*}$ map continuously $M:L^p(v)$ to $L^{q,\infty}(u)$ We also consider the case of generalized Haar shift operators and show that their off-diagonal two weight estimates are governed by the corresponding estimates for the dyadic Hardy-Littlewood maximal function.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectHaar shift operatorsen_US
dc.subjectCalderón-Zygmund operatorsen_US
dc.subjecttwo-weight inequalitiesen_US
dc.subjecttesting conditionsen_US
dc.titleA note on the off-diagonal Muckenhoupt-Wheeden conjectureen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDES/1PE/MTM2014-53850-Pen_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleWSPC Proceedingsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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