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dc.contributor.authorPérez C.en_US
dc.contributor.authorRivera-Ríos I.P.en_US
dc.date.accessioned2016-07-08T10:43:17Z
dc.date.available2016-07-08T10:43:17Z
dc.date.issued2016-07-01
dc.identifier.isbn978-3-319-30959-0
dc.identifier.urihttp://hdl.handle.net/20.500.11824/301
dc.description.abstractThree observations on commutators of Singular Integral Operators with BMO functions are exposed, namely 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 $$\left\| wM\left(\frac{f}{w}\right)\right\|_{L^1(\mathbb{R}^n)\rightarrow L^{1,\infty}(\mathbb{R}^n)}=\infty.$$en_US
dc.description.sponsorshipMTM2012-30748en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherAWM-Springer Series, Harmonic Analysis, Partial Differentail Equations, Complex Analysis, Banach Spaces, and Operator Theoryen_US
dc.relationES/1PE/SEV-2013-0323en_US
dc.relationES/1PE/MTM2014-53850-Pen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleThree Observations on Commutators of Singular Integral Operators with BMO Functionsen_US
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.typeinfo:eu-repo/semantics/acceptedVersionen_US


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