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arxiv: 1710.07392 · v2 · pith:45IGEWKFnew · submitted 2017-10-20 · 🧮 math.CA

Two-weight inequalities for multilinear commutators

classification 🧮 math.CA
keywords multilinearcommutatorsinequalitiesoperatorstwo-weightbloomcaldercounterparts
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We prove Bloom type two-weight inequalities for commutators of multilinear singular integral operators including Calder\'on-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.

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