Toeplitz Type Operators Associated with Generalized Calderon-Zygmund Operator on Weighted Morrey Spaces

Let T-1 be a generalized Calderon-Zygmund operator or +/- I (the identity operator), let T-2 and T-4 be the linear operators, and let T-3 = +/- I. Denote the Toeplitz type operator by T-b = (T1MI alpha T2)-I-b + (T3I alpha MT4)-T-b, where M(b)f = bf 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.