Sharp Bounds for Generalized -Linear -Dimensional -Adic Hardy-Littlewood-Pólya Operator

In this paper, we study the sharp bounds for the generalized - linear - dimensional - adic Hardy-Littlewood-Polya operator on central and noncentral - adic Morrey spaces with power weight. As an application, the sharp bounds for the - adic Hardy-Littlewood-Polya operator on corresponding Morrey spaces are obtained. These results generalize substantially some well-known results.