Sharp weak bounds for discrete Hardy operator on discrete central Morrey spaces

In this note, we introduce the discrete (weak) central Morrey spaces, which are central versions of discrete (weak) Morrey spaces. The sharp bounds for discrete Hardy operator from discrete central Morrey spaces to discrete weak central Morrey spaces are proven to be equal to 1. As an application, we obtain the weak version of the well-known discrete Hardy inequality.

Automated summary

In this note, the authors introduce the discrete (weak) central Morrey spaces, which are central versions of discrete (weak) Morrey spaces. They prove that the sharp bounds for the discrete Hardy operator from discrete central Morrey spaces to discrete weak central Morrey spaces are equal to 1. As an application, they obtain the weak version of the well-known discrete Hardy inequality.