Weighted multilinear p-adic Hardy operators and commutators on p-adic Herz-type spaces

In this paper, we introduce the weighted multilinear p-adic Hardy operator and weighted multilinear p-adic Cesàro operator, we also obtain the boundedness of these two operators on the product of p-adic Herz spaces and p-adic Morrey-Herz spaces, the corresponding operator norms are also established in each case. Moreover, the boundedness of commutators of these two operators with symbols in central bounded mean oscillation spaces and Lipschitz spaces on p-adic Morrey-Herz spaces are also given.