TOEPLITZ TYPE OPERATORS ASSOCIATED TO SINGULAR INTEGRAL WITH VARIABLE KERNEL ON WEIGHTED MORREY SPACES

Let T-k,T-1 be singular integrals with variable Calderon-Zygmund kernels or +/- 1 (the identity operator), let T-k,T-2 and T-k,T-4 be the linear operators, and let T-k,T-3 = +/- 1. Denote the Toeplitz type operator by T-b = Sigma(Q)(k=1) (T-k,T-1 (MI alpha TK,2)-I-b + T-k,T-3 (I alpha MTk,4)-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 weighted BMO space.