Commutators of singular integrals revisited

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.

13 pages

Cited by in corpus (8)

• A revisit on the compactness of commutators
• Bilinear Calderón-Zygmund theory on product spaces
• Dyadic harmonic analysis and weighted inequalities: the sparse revolution
• Bloom weighted bounds for sparse forms associated to commutators
• Fractional Bloom boundedness and compactness of commutators
• Off-diagonal estimates for bi-commutators
• Iterated commutators under a joint condition on the tuple of multiplying functions
• Lower bound of the parabolic Hilbert commutator