Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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MULTIPLE WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS OF MULTILINEAR SINGULAR INTEGRALS WITH GENERALIZED KERNELS

  • Liwen Gao (School of Science China University of Mining and Technology) ;
  • Yan Lin (School of Science China University of Mining and Technology) ;
  • Shuhui Yang (School of Science China University of Mining and Technology)
  • Received : 2021.12.22
  • Accepted : 2023.12.07
  • Published : 2024.03.01
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Abstract

In this paper, the weighted Lp 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.

Keywords

Acknowledgement

This work was financially supported by the National Natural Science Foundation of China (No. 12071052).

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