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Weighted boundedness of multilinear operator associated to singular integral operator with variable Calderón–Zygmund Kernel

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Abstract

In this paper, we establish the weighted sharp maximal function inequalities for the multilinear operator associated to the singular integral operator with variable Calderón–Zygmund kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

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Acknowledgments

The authors would like to express their gratitude to the referee for his/her valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Changsha University of Science and Technology, Changsha, 410114, People’s Republic of China

    Yanxiang Tan & Lanzhe Liu

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  1. Yanxiang Tan
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  2. Lanzhe Liu
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Correspondence to Lanzhe Liu.

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Tan, Y., Liu, L. Weighted boundedness of multilinear operator associated to singular integral operator with variable Calderón–Zygmund Kernel. RACSAM 111, 931–946 (2017). https://doi.org/10.1007/s13398-016-0337-8

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  • DOI: https://doi.org/10.1007/s13398-016-0337-8

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