2023•Studia MathematicaOpen access

The necessity theory for commutators of multilinear singular integral operators: the weighted case

Dinghuai Wang

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Abstract

In this paper, the necessity of BMO for boundedness of commutators of multilinear singular integral operators on weighted Lebesgue spaces is investigated. The results relax the restriction on the weight class to general multiple weights, which can be rega

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In this paper, the necessity of BMO for boundedness of commutators of multilinear singular integral operators on weighted Lebesgue spaces is investigated. The results relax the restriction on the weight class to general multiple weights, which can be rega

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Available abstract

In this paper, the necessity of BMO for boundedness of commutators of multilinear singular integral operators on weighted Lebesgue spaces is investigated. The results relax the restriction on the weight class to general multiple weights, which can be rega

Key concepts: Multilinear map, Mathematics, Singular integral operators, Class (philosophy), Singular integral, Lp space, Lebesgue integration, Pure mathematics

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