  The aim of this paper is to introduce and study the boundedness of a new
class of p-adic rough multilinear Hausdorff operators on the product of Herz,
central Morrey and Morrey-Herz spaces with power weights and Muckenhoupt
weights. We also establish the boundedness for the commutators of p-adic rough
multilinear Hausdorff operators on the weighted spaces with symbols in central
BMO space.
