赋Orlicz范数的Musielak-Orlicz序列空间的凸系数  

On the Convex Coefficient of Musielak-Orlicz Sequence Space Equipped with Orlicz Norm

作　　者：崔云安 郭天保 CUI Yun-an;GUO Tian-bao(School of Sciences,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2022年第6期132-136,共5页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11871181)。

摘　　要：主要研究了赋予Orlicz范数的Musielak-Orlicz序列空间的凸系数。由于赋Orlicz范数的Musielak-Orlicz序列空间的复杂性和计算的繁琐性,至今尚未有人给出该空凸系数的计算公式。利用了一种特殊的方法给出赋Orlicz范数的Musielak-Orlicz的序列空间lΦo的精确计算公式,从而填补了赋Orlicz范数的Musielak-Orlicz序列空间凸系数的空白。This paper mainly studies the convex coefficients of the Musielak-Orlicz sequence space equipped the Orlicz norm.Due to the complexity of the Musielak-Orlicz sequence space with Orlicz norm and the cumbersome calculation,no one has yet given the calculation formula of the convex coefficient of this space.This paper uses a special method to give an accurate calculation formula for the Musielak-Orlicz sequence space lΦowith Orlicz norm,so as to fill the gap in the convex coefficient of the Musielak-Orlicz sequence space with Orlicz norm.

关 键 词：凸系数 凸性模 一致凸 

分 类 号：O177.3[理学—数学]