Inclusion Properties of Orlicz and Weak Orlicz Spaces

被引:10
|
作者
Masta, Al Azhary [1 ,2 ]
Gunawan, Hendra [1 ]
Budhi, Wono Setya [1 ]
机构
[1] Inst Teknol Bandung, Fac Math & Nat Sci, Anal & Geometry Grp, Jl Ganesha 10, Bandung 40132, Indonesia
[2] Univ Pendidikan Indonesia, Dept Math Educ, Jl Dr Setiabudi 229, Bandung 40154, Indonesia
关键词
Inclusion property; Lebesgue spaces; Orlicz spaces; Young function; weak Orlicz spaces;
D O I
10.5614/j.math.fund.sci.2016.48.3.1
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper we discuss the structure of Orlicz spaces and weak Orlicz spaces on R-n. We obtain some necessary and sufficient conditions for the inclusion property of these spaces. One of the keys is to compute the norm of the characteristic functions of the balls in R-n.
引用
收藏
页码:193 / 203
页数:11
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