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Multiple weighted estimates for multilinear commutators of multilinear singular integrals with generalized kernels

Yan Lin|Shuhui Yang|Liwen Gao
대한수학회 (The Korean Mathematical Society)|2024.03|대한수학회지 (Journal of the KMS)|제61권 제2호|pp. 207-226|DOI 10.4134/JKMS.j210768

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참고문헌

키워드

BMO functionmultiple weightsiterated commutator
주제분류수학

초록

In this paper, the weighted $L^{p}$ boundedness of multilinear commutators and multilinear iterated commutators generated by the multilinear singular integral operators with generalized kernels and BMO functions is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels under certain conditions.

Abstract

In this paper, the weighted $L^{p}$ boundedness of multilinear commutators and multilinear iterated commutators generated by the multilinear singular integral operators with generalized kernels and BMO functions is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels under certain conditions.

참고문헌 (18)

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