On the relation between mixed Morrey spaces and mixed Morrey double-sequence spaces

Abstract

In this article, we prove that mixed Morrey double-sequence spaces can be realized as a subspace of mixed Morrey spaces. Our proof extends a similar result for discrete Morrey spaces, obtained by Kikianty and Schwanke in 2019. As an application, we provide simple proofs of several inclusion results in mixed Morrey spaces and mixed Morrey double-sequence spaces.