Article
| Title: | On the proper inclusion property of (discrete) Morrey spaces (English) |
| Author: | Runtunuwu, Yohanes I. |
| Author: | Lindiarni, Janny |
| Author: | Gunawan, Hendra |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 3 |
| Year: | 2025 |
| Pages: | 955-961 |
| Summary lang: | English |
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| Category: | math |
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| 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). (English) |
| Keyword: | Morrey space |
| Keyword: | discrete Morrey space |
| Keyword: | inclusion property |
| MSC: | 42B35 |
| MSC: | 46A45 |
| MSC: | 46B45 |
| DOI: | 10.21136/CMJ.2025.0519-24 |
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| Date available: | 2025-09-19T12:02:12Z |
| Last updated: | 2025-09-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153061 |
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| Reference: | [1] Gunawan, H., Hakim, D. I., Idris, M.: Proper inclusions of Morrey spaces.Glas. Mat., III. Ser. 53 (2018), 143-151. Zbl 1395.42059, MR 3814234, 10.3336/gm.53.1.10 |
| Reference: | [2] Gunawan, H., Hakim, D. I., Idris, M.: On inclusion properties of discrete Morrey spaces.Georgian Math. J. 29 (2022), 37-44. Zbl 1482.42060, MR 4373261, 10.1515/gmj-2021-2122 |
| Reference: | [3] Gunawan, H., Kikianty, E., Schwanke, C.: Discrete Morrey spaces and their inclusion properties.Math. Nachr. 291 (2018), 1283-1296. Zbl 1397.42011, MR 3817318, 10.1002/mana.201700054 |
| Reference: | [4] Haroske, D. D., Skrzypczak, L.: Morrey sequence spaces: Pitt's theorem and compact embeddings.Constr. Approx. 51 (2020), 505-535. Zbl 1454.46037, MR 4093109, 10.1007/s00365-019-09460-7 |
| Reference: | [5] C. B. Morrey, Jr.: On the solutions of quasi-linear elliptic partial differential equations.Trans. Am. Math. Soc. 43 (1938), 126-166. Zbl 0018.40501, MR 1501936, 10.1090/S0002-9947-1938-1501936-8 |
| Reference: | [6] Runtunuwu, Y. I.: Sifat Inklusi Sejati dari Ruang Morrey: Master Thesis.Institut Teknologi Bandung, Bandung (2024), Indonesian. |
| Reference: | [7] Runtunuwu, Y. I., Gunawan, H.: Embedding from discrete Morrey spaces to continuous Morrey spaces.ITM Web Conf. 75 (2025), Article ID 03004, 5 pages. 10.1051/itmconf/20257503004 |
| Reference: | [8] Sawano, Y., Tanaka, H.: Morrey spaces for non-doubling measures.Acta Math. Sin., Engl. Ser. 21 (2005), 1535-1544. Zbl 1129.42403, MR 2190025, 10.1007/s10114-005-0660-z |
| Reference: | [9] Yudatama, R.: Struktur Ruang Morrey Diskret dan Ruang Antara pada Keluarga Ruang Morrey Diskret: Master Thesis.Institut Teknologi Bandung, Bandung (2024), Indonesian. |
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