Boundedness for Toeplitz Type Operator Associated With Singular Integral Operator With Variable Calderón-Zygmund Kernel

Abstract

In this paper, we establish sharp maximal function inequalities for the Toeplitz-type operator associated with the singular integral operator with a variable Calderón-Zygmund kernel. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces.