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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Bibliographic Details
Main Authors: XU Anqi, CUI Yunan
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2024-08-01
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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Summary: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.
ISSN:1007-2683