Rough Hausdorff operator and its commutators on the Heisenberg group

In this paper, we discuss some sufficient conditions for the boundedness of rough Hausdorff operators on the central Morrey and Herz spaces with the Muckenhoupt weights on the Heisenberg group. The boundedness for the commutators of rough Hausdorff operators with symbols in weighted CMO space on such spaces is given as well.