2019/05/24 by Hendra Gunawan, Gunawan, Hendra, Denny Ivanal Hakim +3
Mathematics · #42B35 #46A45 #46B45 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.1905.10021
openalex publication_date 2019/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a necessary condition for inclusion relations between discrete Morrey spaces which can be seen as a complement of the results in \citeGKS,HS2. We also prove another inclusion property of discrete Morrey spaces which can be viewed as a generalization of the inclusion property of the spaces of p-summable sequences. Analogous results for weak type discrete Morrey spaces is also presented. In addition, we show that each of these inclusion relations is proper. Some connections between inclusion properties of discrete Morrey spaces and those of Morrey spaces are also discussed.