Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm
The smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms. In this paper, we provide necessary and sufficient conditions for smoothness of Musielak-O...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2024-08-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2359 |
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| author | XU Anqi CUI Yunan |
| author_facet | XU Anqi CUI Yunan |
| author_sort | XU Anqi |
| collection | DOAJ |
| description | The smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms. In this paper, we provide necessary and sufficient conditions for smoothness of Musielak-Orlicz function spaces equipped with p-Amemiya norm.
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| format | Article |
| id | doaj-art-847d35510754492ebe4e72f894e71476 |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2024-08-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-847d35510754492ebe4e72f894e714762025-08-20T02:43:38ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-08-01290414715110.15938/j.jhust.2024.04.016Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya NormXU Anqi0CUI Yunan1School of Sciences, Harbin University of Science and Technology, Harbin 150080 , ChinaSchool of Sciences, Harbin University of Science and Technology, Harbin 150080 , ChinaThe smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms. In this paper, we provide necessary and sufficient conditions for smoothness of Musielak-Orlicz function spaces equipped with p-Amemiya norm. https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2359musielak-orlicz function spacep-amemiya normdual space; smoothnessstrict convexity |
| spellingShingle | XU Anqi CUI Yunan Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm Journal of Harbin University of Science and Technology musielak-orlicz function space p-amemiya norm dual space; smoothness strict convexity |
| title | Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm |
| title_full | Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm |
| title_fullStr | Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm |
| title_full_unstemmed | Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm |
| title_short | Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm |
| title_sort | smoothness in musielak orlicz function spaces equipped with p amemiya norm |
| topic | musielak-orlicz function space p-amemiya norm dual space; smoothness strict convexity |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2359 |
| work_keys_str_mv | AT xuanqi smoothnessinmusielakorliczfunctionspacesequippedwithpamemiyanorm AT cuiyunan smoothnessinmusielakorliczfunctionspacesequippedwithpamemiyanorm |