dc.contributor.author Lerner, A. K dc.contributor.author Ombrosi, S. dc.contributor.author Rivera-Ríos, I.P. dc.date.accessioned 2017-08-10T19:26:03Z dc.date.available 2017-08-10T19:26:03Z dc.date.issued 2017 dc.identifier.issn 0001-8708 dc.identifier.uri http://hdl.handle.net/20.500.11824/722 dc.description.abstract In recent years, it has been well understood that a en_US Calderón-Zygmund operator T is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators). We obtain a similar pointwise estimate for the commutator $[b, T ]$ with a locally integrable function $b$. This result is applied into two directions. If $b \in BMO$, we improve several weighted weak type bounds for $[b, T ]$. If $b$ belongs to the weighted $BMO$, we obtain a quantitative form of the two-weighted bound for $[b, T ]$ due to Bloom-Holmes-Lacey-Wick. dc.description.sponsorship MTM2012-30748 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.title On pointwise and weighted estimates for commutators of Calderón-Zygmund operators en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.arxiv https://arxiv.org/abs/1604.01334 dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID ES/1PE/MTM2014-53850-P 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 Advances in Mathematics en_US
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