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Keywords:
Morrey space; discrete Morrey space; inclusion property
Morrey space; discrete Morrey space; inclusion property
Summary:
We construct a function which confirms the proper inclusion property of Morrey spaces, by using a relation between a class of functions, in Morrey spaces and discrete Morrey spaces. Our particular function is simpler than those constructed by H. Gunawan, D. I. Hakim, M. Idris (2018) and H. Gunawan, D. I. Hakim, M. Idris (2022).
References:
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[2] Gunawan, H., Hakim, D. I., Idris, M.: On inclusion properties of discrete Morrey spaces. Georgian Math. J. 29 (2022), 37-44. DOI 10.1515/gmj-2021-2122 | MR 4373261 | Zbl 1482.42060
[3] Gunawan, H., Kikianty, E., Schwanke, C.: Discrete Morrey spaces and their inclusion properties. Math. Nachr. 291 (2018), 1283-1296. DOI 10.1002/mana.201700054 | MR 3817318 | Zbl 1397.42011
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