Czechoslovak Mathematical Journal, first online, pp. 1-7


On the proper inclusion property of (discrete) Morrey spaces

Yohanes I. Runtunuwu, Janny Lindiarni, Hendra Gunawan

Received December 15, 2025.   Published online May 12, 2025.

Abstract:  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).
Keywords:  Morrey space; discrete Morrey space; inclusion property
Classification MSC:  42B35, 46A45, 46B45

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References:
[1] H. Gunawan, D. I. Hakim, M. Idris: Proper inclusions of Morrey spaces. Glas. Mat., III. Ser. 53 (2018), 143-151. DOI 10.3336/gm.53.1.10 | MR 3814234 | Zbl 1395.42059
[2] H. Gunawan, D. I. Hakim, M. Idris: 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] H. Gunawan, E. Kikianty, C. Schwanke: 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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[6] Y. I. Runtunuwu: Sifat Inklusi Sejati dari Ruang Morrey: Master Thesis. Institut Teknologi Bandung, Bandung (2024). (In Indonesian.)
[7] Y. I. Runtunuwu, H. Gunawan: Embedding from discrete Morrey spaces to continuous Morrey spaces. ITM Web Conf. 75 (2025), Article ID 03004, 5 pages. DOI 10.1051/itmconf/20257503004
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Affiliations:   Yohanes I. Runtunuwu, Janny Lindiarni, Hendra Gunawan (corresponding author), Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jl. Ganesha No. 10, Lb. Siliwangi, Kecamatan Coblong, Kota Bandung, Jawa Barat, 40132, Indonesia, e-mail: 20122004@mahasiswa.itb.ac.id, janny@itb.ac.id, hgunawan@itb.ac.id


 
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