Boundedness of the Higher Order Commutators on the Homogeneous Morrey-Herz Space

The boundedness results on the homogeneous Morrey-Herz spaces are estab- lished for some higher order commutators formed by sublinear operators with rough kernels and function a BMO(R~n) functions.And on Hardy-Littlewood maximal operators with rough ker- nels and the fractional versions,the boundedness on the homogeneous Morrey-Herz spaces is also obtained