  The purpose of this paper is to establish some neccessary and sufficient
conditions for the boundedness of a general class of multilinear Hausdorff
operators that acts on the product of some two weighted function spaces such as
the two weighted Morrey, Herz and Morrey-Herz spaces. Moreover, some sufficient
conditions for the boundedness of multilinear Hausdorff operators on the such
spaces with respect to the Muckenhoupt weights are also given.
