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Commutators of singular integrals revisited

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arxiv 1709.04724 v1 pith:I5L5VQJP submitted 2017-09-14 math.CA

Andrei K. Lerner , Sheldy Ombrosi , Israel P. Rivera-Ríos This is my paper · ORCID
classification math.CA
keywords commutatorsintegralssingularbloom-typeboundednesscharacterizationclassestablished
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We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.

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  1. Buerling-Ahlfors Commutators on Weighted Morrey Spaces and Applications to Beltrami Equations

    math.CA 2019-08 conditional novelty 6.0 of 10

    The paper characterizes boundedness and compactness of Beurling-Ahlfors commutators on weighted Morrey spaces via BMO and CMO, and applies the compactness result to solve Beltrami equations.

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