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arXiv · 1709.04724

Commutators of singular integrals revisited

Andrei K. Lerner·Sheldy Ombrosi·Israel P. Rivera-Ríos
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Abstract

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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Andrei K. Lerner, Sheldy Ombrosi, Israel P. Rivera-Ríos. 2017-09-14. Commutators of singular integrals revisited. https://doi.org/10.1112/blms.12216

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