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

Abstract

<abstract><p>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.</p></abstract>

Estimates of discrete Riesz potentials on discrete weighted Lebesgue spaces

“…In 2019, Gunawan and Schwanke [9] discussed the boundedness of discrete Riesz potentials on discrete Morrey spaces of arbitrary dimension as follows; more results for discrete Morrey spaces see [1,2,3,12,13,25].…”

Boundedness of the fractional Hardy-Littlewood maximal operator on weighted Morrey spaces

“…In addition, discrete Morrey spaces can be used to study the properties of discrete operators and the properties of the spaces themselves. For more results on discrete Morrey spaces, we lead the reader to [1,2,3,11,12,21].…”