Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces

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Abstract

By using the Littlewood-Paley decomposition and the interpolation theory, we prove the boundedness of fractional integral on the product Triebel-Lizorkin spaces with a rough kernel related to the product block spaces.

Keywords:

fractional integral block space Triebel-Lizorkin space product space
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DOI

10.13447/j.1674-5647.2017.03.06

How to Cite

Boundedness of Fractional Integrals with a Rough Kernel on the Product Triebel-Lizorkin Spaces. (2019). Communications in Mathematical Research, 33(3), 259-273. https://doi.org/10.13447/j.1674-5647.2017.03.06