Boundedness on Triebel-Lizorkin spaces for the Calderón commutator with rough kernel

What is it about?

The d-dimensional Calderon commutator is of interest in the theory of singular integral operators, and has many applications in relate topics, such as Cauchy integral on Lipschitz curves, bilinear Hilbert transform, etc. Boundedness on Trieble-Lizorkin spaces for the Calderon commutator with rough kernel was given in this paper.

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Why is it important?

The rough kernel in Calderon commutator brought great difficulties, and we overcame them.