The Hardy–Littlewood Maximal Operator on Discrete Morrey Spaces

We discuss the Hardy–Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a discrete version of the Fefferman–Stein inequality. As a corollary, we also obtain the boundedness of some Riesz potentials on discrete Morrey spaces.