赋s范数Orlicz函数空间的光滑点  

Smooth Points of Orlicz Function Spaces Equipped with S-norm

作　　者：徐浩 王俊明 XU Hao;WANG Junming(School of Science,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》2024年第2期147-152,共6页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11871181).

摘　　要：光滑点是巴拿赫空间几何理论中的重要概念,在估计理论,概率论等领域有重要应用。本文中,首先用凸模引入赋s-范数Orlicz空间对偶空间范数,然后讨论对偶范数的范数可达性,在此基础上给出赋s-范数Or-licz空间的支撑泛函的显式形式,最后给出赋s-范数Orlicz空间光滑点的判据。Smooth points are important concepts in Banach space geometry theory,which have important applications in estimation theory,probability theory and other fields.In this paper,firstly the dual norm of Orlicz space endowed with s-norm is introduced by convex model and then the norm attainability of dual norm is discussed.On this basis,the explicit form of support functional for Orlicz space endowed with s-norm is given.Finally,a criterion for smooth points in Orlicz space endowed with s-norm is presented.

关 键 词：Olicz函数空间 s-范数 支撑泛函 光滑点 

分 类 号：O177.3[理学—数学]