Boundedness for a class of fractional integrals with a rough kernel related to block spaces

Abstract

We prove the boundedness of fractional integral with a rough kernel on Triebel-Lizorkin spaces, where the rough kernel belongs to the block space and does not need to satisfy any moment conditions on the unit sphere.

Keywords

Fractional integral / block space / Triebel-Lizorkin space / Fourier transform / interpolation

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