Some new weighted estimates for p-adic multilinear Hausdorff type operator and its commutators on Morrey–Herz spaces

The aim of this paper is to discuss the boundedness of multilinear Hausdorff type operators on two-weighted Morrey spaces and Morrey–Herz spaces on the p-adic fields. In particular, we give new necessary and sufficient conditions of sup-inf type for the boundedness of p-adic multilinear Hausdorff type operators on two-weighted Morrey–Herz p-adic spaces. Furthermore, the boundedness of the commutators of these operators with symbols in Lipschitz spaces on such spaces is obtained.