On the relation between mixed Morrey spaces and mixed Morrey double-sequence spaces
Hendra Gunawan(a), Eder Kikianty(b), Denny Ivanal Hakim(a*), Ifronika(a), Rizma Yudatama(a)

a)Analysis and Geometry Group, Bandung Institute of Technology. Jalan Ganesha 10, Bandung, Indonesia
b)Department of Mathematics and Applied Mathematics, University of Pretoria, Private bag X20 Hatfield, 0028 Pretoria, South Africa

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 reprove several inclusion results in mixed Morrey spaces and mixed Morrey double-sequence spaces.

Keywords: Mixed Morrey spaces- Mixed Morrey double sequence spaces- inclusion

Topic: Minisymposia Fourier Analysis and Integral Operators