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Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels

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In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by BMO$BMO$ functions and multilinear singular integral operators with generalized kernels. As applications, the… Click to show full abstract

In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by BMO$BMO$ functions and multilinear singular integral operators with generalized kernels. As applications, the boundedness of this kind of multilinear iterated commutators on the product of weighted Lebesgue spaces and the product of variable exponent Lebesgue spaces can be obtained, respectively.

Keywords: generalized kernels; maximal weighted; iterated commutators; multilinear iterated; estimates multilinear; sharp maximal

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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