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dc.contributor.authorHytönen, T.P.
dc.contributor.authorRoncal, L.
dc.contributor.authorTapiola, O.
dc.dateinfo:eu-repo/date/embargoEnd/2018-02-28en_US
dc.date.accessioned2017-04-08T12:31:44Z
dc.date.available2017-04-08T12:31:44Z
dc.date.issued2017-03-11
dc.identifier.issn0021-2172
dc.identifier.urihttp://hdl.handle.net/20.500.11824/660
dc.description.abstractWe consider homogeneous singular kernels, whose angular part is bounded, but need not have any continuity. For the norm of the corresponding singular integral operators on the weighted space $L^2(w)$, we obtain a bound that is quadratic in the $A_2$ constant $[w]_{A_2}$. We do not know if this is sharp, but it is the best known quantitative result for this class of operators. The proof relies on a classical decomposition of these operators into smooth pieces, for which we use a quantitative elaboration of Lacey's dyadic decomposition of Dini-continuous operators: the dependence of constants on the Dini norm of the kernels is crucial to control the summability of the series expansion of the rough operator. We conclude with applications and conjectures related to weighted bounds for powers of the Beurling transform.en_US
dc.description.sponsorshipMTM2015-65888-C04-4-P from Spanish Government and the mobility grant "José Castillejo" number CAS14/00037 from Ministerio de Educación, Cultura y Deporte of Spainen_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.titleQuantitative weighted estimates for rough homogeneous singular integralsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s11856-017-1462-6
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s11856-017-1462-6en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleIsrael Journal of Mathematicsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España