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

Authors

  • Huihui Zhang Department of Mathematics, Shangrao Normal University, Shangrao, Jiangxi, 334001
  • Xiao Yu Department of Mathematics, Shangrao Normal University, Shangrao, Jiangxi, 33400
  • Zhongqi Xiang Department of Mathematics, Shangrao Normal University, Shangrao, Jiangxi, 334001

DOI:

https://doi.org/10.13447/j.1674-5647.2017.03.06

Keywords:

fractional integral, block space, Triebel-Lizorkin space, product space

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.

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Published

2019-11-22

Issue

Vol. 33 No. 3 (2017)

Section

Articles