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dc.contributor.authorPérez, C.
dc.contributor.authorRivera-Ríos, I.P.
dc.contributor.authorRoncal, L.
dc.date.accessioned2016-08-01T14:05:07Z
dc.date.available2016-08-01T14:05:07Z
dc.date.issued2016-07-01
dc.identifier.urihttp://hdl.handle.net/20.500.11824/305
dc.description.abstractQuantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega \|_{L^p(w)}\le c_{n,p}\|\Omega\|_{L^\infty} [w]_{A_1}^{\frac{1}{p}}\,[w]_{A_{\infty}}^{1+\frac{1}{p'}}\|f\|_{L^p(w)} \] and \[ \| [b,T_{\Omega}]f\| _{L^{p}(w)}\leq c_{n,p}\|b\|_{BMO}\|\Omega\|_{L^{\infty}} [w]_{A_1}^{\frac{1}{p}}[w]_{A_{\infty}}^{2+\frac{1}{p'}}\|f\|_{L^{p}\left(w\right)}, \] for $1<p<\infty$ and $1/p+1/p'=1$.
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.title$A_1$ theory of weights for rough homogeneous singular integrals and commutatorsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.arxiv1607.06432
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDES/1PE/MTM2014-53850-Pen_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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