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Weighted norm inequalities for the multilinear Calderón-Zygmund operators

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Abstract

In this paper, by proving some suitable weighted endpoint estimates, and then by multilinear interpolation and a new multilinear extrapolation lemma, the author establishes some weighted estimates for the multilinear Calderón-Zygmund operator. Also, the author gives a weighted estimate for the corresponding commutator.

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Authors and Affiliations

  1. Department of Applied Mathematics, Zhengzhou Information Sciences and Technology Institute, Zhengzhou, 450002, China

    GuoEn Hu

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  1. GuoEn Hu
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Correspondence to GuoEn Hu.

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Hu, G. Weighted norm inequalities for the multilinear Calderón-Zygmund operators. Sci. China Math. 53, 1863–1876 (2010). https://doi.org/10.1007/s11425-010-4016-5

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  • DOI: https://doi.org/10.1007/s11425-010-4016-5

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