摘要
在Orlicz空间中,给出了新范数—Φ-Amemiya范数的计算公式,讨论了赋Φ-Amemiya范数的Orlicz空间的范数可达的条件,并研究了端点的判别准则,作为推论得到了赋Φ-Amemiya范数的Orlicz空间严格凸的充要条件。
In Orlicz space,the formula of computation of a new norm that we callΦ-Amemiya norm is given.In this paper,we disscuss the conditions of norm attainability of the Orlicz space equipped withΦ-Amemiya norm,and the criterion of an extreme point is studied.Based on this,the conditions under which the norm of the Orlicz space with theΦ-Amemiya norm can be reached are discussed.The necessary and sufficient conditions for the strictly convex Orlicz space of theΦ-Amemiya norm are reached.
作者
崔云安
安莉丽
CUI Yun-an;AN Li-li(College of Science,Harbin University of Science and Technology,Harbin 150080,China)
出处
《哈尔滨理工大学学报》
CAS
北大核心
2021年第2期149-153,共5页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(11871181).
