Orlicz差分体的基本性质  

The Basic Properties of Orlicz Difference Bodies

作　　者：夏落燕 柏仕坤[2] 曾春娜[2] 

机构地区：[1]重庆人文科技学院数学系,重庆401524 [2]重庆师范大学数学学院,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2016年第5期77-79,共3页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金天元基金(No.11326073);重庆市教委科学技术研究项目(No.KJ1500312);重庆市基础与前沿研究项目(No.cstc2014jcyjA00019)

摘　　要：研究了空间凸体的Orlicz差分体及其基本性质。受Lutwak定义的Lp差分体和Orlicz加法的启发,将Lp差分体的概念推广到Orlicz空间,定义了对称Orlicz差分体、不对称Orlicz差分体。在此基础之上,利用支持函数的性质,得到了对称Orlicz差分体及不对称Orlicz差分体的基本性质。We investigate the difference body of convex bodies in space and study further on their basical properties.Motived by the Lpdifference body introduced by Lutwak and the definition of Orlicz addition,we generate the Lpdifference body to its Orlicz case and give the definition of the symmetric Orlicz difference bodies as well as the asymmetric Orlicz difference bodies based on the Orlicz addition.Then we obtain some basic properties of the symmetric Orlicz difference bodies and the asymmetric Orlicz difference bodies by the properties of support function.

关 键 词：Orlicz差分体 Orlicz和 凸体 

分 类 号：O186.5[理学—数学]