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dc.contributor.authorCanto, J.
dc.date.accessioned2020-06-07T11:25:45Z
dc.date.available2020-06-07T11:25:45Z
dc.date.issued2020
dc.identifier.issn1050-6926
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1107
dc.description.abstractWe prove an appropriate sharp quantitative reverse Hölder inequality for the $C_p$ class of weights fromwhich we obtain as a limiting case the sharp reverse Hölder inequality for the $A_\infty$ class of weights (Hytönen in Anal PDE 6:777–818, 2013; Hytönen in J Funct Anal 12:3883–3899, 2012). We use this result to provide a quantitative weighted norm inequality between Calderón–Zygmund operators and theHardy–Littlewood maximal function, precisely $$|| T f ||_{ L^p(w)} \leq C_{T,n,p,q} [w]_{C_q} (1 + \log^+[w]_{C_q} ) ||Mf ||_{ L^p(w)} ,$$ for $w ∈ C_q$ and $q > p > 1$, quantifying Sawyer’s theorem (StudMath 75(3):753–763, 1983).en_US
dc.description.sponsorshipBasque Government IT1247-19en_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.subjectWeighted inequalitiesen_US
dc.subject$A_\infty$en_US
dc.subject$C_p$en_US
dc.subjectCalderón-Zygmund operatoren_US
dc.subjectHardy-Littelwood maximal operatoren_US
dc.titleSharp reverse Hölder inequality for Cp weights and applicationsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s12220-020-00430-1
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s12220-020-00430-1en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2017-82160-C2-1-Pen_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleJournal of Geometric Analysisen_US


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