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Pointwise estimates for the maximal multilinear singular integral operators

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Abstract

Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(ℝn) estimate for the maximal multilinear singular integral operators.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Information Engineering, P.O.Box 1001-747, 450002, Zhengzhou, China

    Hu Guo’en

  2. College of Mathematical and Information Sciences, Henan University, 475001, Kaifeng, China

    Hu Guo’en & Li Dengfeng

  3. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Lu Shanzhen

Authors
  1. Hu Guo’en
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  2. Li Dengfeng
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  3. Lu Shanzhen
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Correspondence to Lu Shanzhen.

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Guo’en, H., Dengfeng, L. & Shanzhen, L. Pointwise estimates for the maximal multilinear singular integral operators. Sci. China Ser. A-Math. 48, 1696–1706 (2005). https://doi.org/10.1360/022005-026

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  • DOI: https://doi.org/10.1360/022005-026

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