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Hardy spaces estimates for a class of multilinear homogeneous operators

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Abstract

It is proved that a class of multilinear singular integral operators with homogeneous kernels are bounded operators from the product spaces\(L^{p_1 } \times L^{p_2 } \times \cdots \times L^{p_k } (\mathbb{R}^n )\) to the Hardy spacesH r, (ℝn) and the weak Hardy spaceH r,∞ (ℝn. As an application of this result, the Lp,(ℝn) boundedness of a class of commutator for the singular integral with homogeneous kernels is obtained.

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Authors and Affiliations

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

    Yong Ding & Shanzhen Lu

Authors
  1. Yong Ding
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  2. Shanzhen Lu
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Additional information

Project supparted in part by the National Natural Science Foundation of Chind (Grant No. 19131080) of China and Doctoral Programme Foundation of Institution of Higher Education (Grant No. 98002703) of China.

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Ding, Y., Lu, S. Hardy spaces estimates for a class of multilinear homogeneous operators. Sci. China Ser. A-Math. 42, 1270–1278 (1999). https://doi.org/10.1007/BF02876027

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  • DOI: https://doi.org/10.1007/BF02876027

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