Inclusion Properties of Orlicz Spaces and Weak Orlicz Spaces Generated by Concave Functions

2nd Annual Applied Science and Engineering Conference

工业技术;自然科学

Taqiyuddin, M.^1 ; Masta, A.A.^1

Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi no. 229, Bandung

40154, Indonesia^1

关键词: Characteristic functions;    Concave function;    Inclusion properties;    Orlicz spaces;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/288/1/012103/pdf
DOI  :  10.1088/1757-899X/288/1/012103

来源: IOP

【 摘 要 】

In this paper, we introduce Orlicz spaces generated by concave functions and establish some inclusion properties between them. In addition, we also obtain similar result for weak Orlicz spaces. One of the keys to prove our result is by estimating characteristic function of open balls inn.