English

Inclusion properties of Orlicz and weak Orlicz spaces

Functional Analysis 2016-07-13 v1

Abstract

In this paper we discuss the structure of Orlicz spaces and weak Orlicz spaces on Rn\mathbb{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 Rn\mathbb{R}^n.

Keywords

Cite

@article{arxiv.1607.03214,
  title  = {Inclusion properties of Orlicz and weak Orlicz spaces},
  author = {Al Azhary Masta and Hendra Gunawan and Wono Setya Budhi},
  journal= {arXiv preprint arXiv:1607.03214},
  year   = {2016}
}

Comments

10 pages