Inclusion properties of Orlicz and weak Orlicz spaces

12 Jul 2016 · Masta Al Azhary, Gunawan Hendra, Budhi Wono Setya ·

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