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Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach

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arxiv 1710.08515 v3 pith:H5VZ5KTN submitted 2017-10-23 math.CA

Árpád Bényi , José María Martell , Kabe Moen , Eric Stachura , Rodolfo H. Torres This is my paper · ORCID
classification math.CA
keywords approachcommutatorsestimatesfunctionsresultsweightedamenableboundedness
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We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but yielding also numerous new ones.

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  1. Commutators of Hilbert transforms along monomial curves

    math.CA 2019-09 conditional novelty 7.0 of 10

    Commutators of Hilbert transforms along parabolic and monomial curves are bounded when the symbol lies in a curve-adapted BMO space, and a new testing BMO space gives a partial converse.

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