Sharp estimates for the $ {p} $-adic $ {m} $-linear $ {n} $-dimensional Hardy and Hilbert operators on $ {p} $-adic weighted Morrey space

In this paper, we studied the sharp bounds for the $ m $-linear $ n $-dimensional $ p $-adic integral operator with a kernel on central and noncentral $ p $-adic Morrey spaces with power weight. As an application, the sharp bounds for $ p $-adic Hardy and Hilbert operators on $ p $-adic weighted Morrey spaces were obtained. Finally, we also found the sharp bound for the $ p $-adic Hausdorff operator on $ p $-adic weighted central and noncentral Morrey spaces, which generalizes the previous results.