Discrete Morrey spaces are closed subspaces of their continuous counterparts
Volume 119 / 2019
Banach Center Publications 119 (2019), 223-231
MSC: 42B35, 46A45, 46B45.
DOI: 10.4064/bc119-13
Abstract
The Banach space structure of the discrete Morrey spaces follows from the fact that they are closed subspaces of the classical Morrey spaces. In this paper, we present the complete proof of this statement. Some inclusion properties of the discrete Morrey spaces are also discussed.
