dc.contributor.author Pérez C. en_US dc.contributor.author Rivera-Ríos I.P. en_US dc.date.accessioned 2016-07-08T10:43:17Z dc.date.available 2016-07-08T10:43:17Z dc.date.issued 2016-07-01 dc.identifier.isbn 978-3-319-30959-0 dc.identifier.uri http://hdl.handle.net/20.500.11824/301 dc.description.abstract Three observations on commutators of Singular Integral Operators with BMO functions are exposed, namely en_US 1 - The already known subgaussian local decay for the commutator, namely $$\frac{1}{|Q|}\left|\left\{x\in Q\, : \, |[b,T](f\chi_Q)(x)|>M^2f(x)t\right\}\right|\leq c e^{-\sqrt{ct\|b\|_{BMO}}}$$ is sharp, since it cannot be better than subgaussian. 2 - It is not possible to obtain a pointwise control of the commutator by a finite sum of sparse operators defined by $L\log L$ averages. 3 - Motivated by the conjugation method for commutators, it is shown the failure of the following endpoint estimate, if $w\in A_p\setminus A_1$ then $$\left\| wM\left(\frac{f}{w}\right)\right\|_{L^1(\mathbb{R}^n)\rightarrow L^{1,\infty}(\mathbb{R}^n)}=\infty.$$ dc.description.sponsorship MTM2012-30748 en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.publisher AWM-Springer Series, Harmonic Analysis, Partial Differentail Equations, Complex Analysis, Banach Spaces, and Operator Theory en_US dc.relation ES/1PE/SEV-2013-0323 en_US dc.relation ES/1PE/MTM2014-53850-P en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.title Three Observations on Commutators of Singular Integral Operators with BMO Functions en_US dc.type info:eu-repo/semantics/conferenceObject en_US dc.type info:eu-repo/semantics/acceptedVersion en_US
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