$$M^k$$ M k -type sharp estimates and boundedness on Morrey space for Toeplitz type operators associated to fractional integral and singular integral operator with general kernel

Abstract

In this paper, we prove the \(M^k\)-type sharp maximal function estimates for the Toeplitz type operators associated to the fractional integral and singular integral operator with general kernel. As an application, we obtain the weighted boundedness of the operators on the Morrey space.