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Multilinear singular integrals and commutators in variable exponent Lebesgue spaces

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Abstract

Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained. The vector-valued case is also considered.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, Changsha, 410081, China

    Ai-wu Huang & Jing-shi Xu

Authors
  1. Ai-wu Huang
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  2. Jing-shi Xu
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Correspondence to Jing-shi Xu.

Additional information

The corresponding author Xu Jingshi was partially supported by the Scientific Research Fund of Hunan Provincial Education Department (09A058).

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Huang, Aw., Xu, Js. Multilinear singular integrals and commutators in variable exponent Lebesgue spaces. Appl. Math. J. Chin. Univ. 25, 69–77 (2010). https://doi.org/10.1007/s11766-010-2167-3

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  • DOI: https://doi.org/10.1007/s11766-010-2167-3

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