Weighted boundedness for Toeplitz type operatorassociated to singular integral operator withvariable Calderón-Zygmund kernel

Abstract

In this paper, we establish the weighted sharp maximal function inequalities for theToeplitz type operator associated to the singular integral operator with variable Calderón-Zygmund kernel. As an application, we obtain the boundedness of the operator onweighted Lebesgue and Morrey spaces.