Toeplitz type operators associated with generalized Calderón-Zygmund operator on weighted Morrey spaces (Q288763)

Summary: Let \(T_1\) be a generalized Calderón-Zygmund operator or \(\pm I\) (the identity operator), let \(T_2\) and \(T_4\) be the linear operators, and let \(T_3 = \pm I\). Denote the Toeplitz type operator by \(T^b = T_1 M^b I_\alpha T_2 + T_3 I_\alpha M^b T_4\), where \(M^b f = b f\) and \(I_\alpha\) is the fractional integral operator. In this paper, we investigate the boundedness of the operator \(T^b\) on weighted Morrey space when \(b\) belongs to the weighted BMO spaces.