Two-weight inequalities for multilinear commutators

Abstract

We prove Bloom type two-weight inequalities for commutators of multilinear singular integral operators including Calderón-Zygmund operators and their dyadic counterparts. Such estimates are further extended to a general higher order multilinear setting. The proof involves a pointwise sparse domination of multilinear commutators.

19 pages. Several inaccuracies of references are fixed

References in corpus (4)

• Commutators in the Two-Weight Setting
• Sharp bounds for general commutators on weighted Lebesgue spaces
• Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
• Bilinear representation theorem

Cited by in corpus (9)

• Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
• A revisit on the compactness of commutators
• Bilinear Calderón-Zygmund theory on product spaces
• Two-weight commutator estimates: general multi-parameter framework
• Commutators of bilinear bi-parameter singular integrals
• Grand Lebesgue Spaces norm estimates for multivariate functional operations
• Bloom type upper bounds in the product BMO setting
• Bloom type inequality for bi-parameter singular integrals: efficient proof and iterated commutators
• A note on extrapolation of compactness