dc.contributor.author Li, K. dc.contributor.author Ombrosi, S. dc.contributor.author Picardi, B. dc.date.accessioned 2017-09-02T19:29:59Z dc.date.available 2017-09-02T19:29:59Z dc.date.issued 2017 dc.identifier.issn 0039-3223 dc.identifier.uri http://hdl.handle.net/20.500.11824/728 dc.description.abstract In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let $\vec{w}=(w_1,...,w_m)$ and $\nu = w_1^\frac{1}{m}...w_m^\frac{1}{m}$, the main result of the paper sentences that under different conditions on the weights we can obtain en_US $$\Bigg\| \frac{T(\vec f\,)(x)}{v}\Bigg\|_{L^{\frac{1}{m}, \infty}(\nu v^\frac{1}{m})} \leq C \ \prod_{i=1}^m{\|f_i\|_{L^1(w_i)}},$$ where $T$ is a multilinear Calder\'on-Zygmund operator. To obtain this result we first prove it for the $m$-fold product of the Hardy-Littlewood maximal operator $M$, and also for $\mathcal{M}(\vec{f})(x)$: the multi(sub)linear maximal function introduced in [LOPTT]. As an application we also prove a vector-valued extension to the mixed weighted weak-type inequalities of multilinear Calder\'on-Zygmund operators. dc.description.sponsorship Juan de la Cierva-Formaci\'on 2015 FJCI-2015-24547 en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject mixed weighted inequalities en_US dc.subject multilinear operators en_US dc.title Weighted mixed weak-type inequalities for multilinear operators en_US dc.type info:eu-repo/semantics/article en_US dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Studia Mathematica en_US
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