On the behaviors of sublinear operators with rough kernel generated by Calderon-Zygmund operators both on weighted Morrey and generalized weighted Morrey spaces

The aim of this paper is to get the boundedness of sublinear operators with rough kernel generated by Calderon-Zygmund operators both on weighted Morrey and generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis, respectively. Also, Calderon-Zygmund(C- Z) singular integral operator with rough kernel and a related Hardy-Littlewood(H-L) maximal operator with rough kernel which satisfy the conditions of our main result can be considered as some examples.