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Singular integral operators on product Triebel-Lizorkin spaces

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Abstract

In this paper, we consider the rough singular integral operators on product Triebel-Lizorkin spaces and prove certain boundedness properties on the Triebel-Lizorkin spaces. We also use the same method to study the fractional integral operator and the Littlewood-Paley functions. The results extend some known results.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    JieCheng Chen & Hui Wang

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  1. JieCheng Chen
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  2. Hui Wang
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Correspondence to Hui Wang.

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Chen, J., Wang, H. Singular integral operators on product Triebel-Lizorkin spaces. Sci. China Math. 53, 335–346 (2010). https://doi.org/10.1007/s11425-009-0077-8

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  • DOI: https://doi.org/10.1007/s11425-009-0077-8

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