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dc.contributor.authorPérez, C.
dc.contributor.authorRivera-Ríos, I.P.
dc.contributor.authorRoncal, L.
dc.date.accessioned2019-08-12T13:24:03Z
dc.date.available2019-08-12T13:24:03Z
dc.date.issued2019
dc.identifier.issn0391-173X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1005
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 $1/p+1/p'=1$.en_US
dc.description.sponsorshipBERC 2014-2017 BCAM Severo Ochoa excellence accreditation SEV-2013-0323 MTM2014-53850-P. MTM2015-65888-C04-4-P 2017 Leonardo grant for Researchers and Cultural Creators, BBVA Foundationen_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.subject$A_1$ theory of weightsen_US
dc.subjectrough homogeneous singular integralsen_US
dc.subjectcommutatorsen_US
dc.title$A_1$ theory of weights for rough homogeneous singular integrals and commutatorsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.publisherversionhttp://annaliscienze.sns.it/index.php?page=Article&id=564en_US
dc.relation.projectIDES/1PE/MTM2017-82160-C2-1-Pen_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleAnnali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie Ven_US


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