Weak Henstock-Orlicz space and inclusion properties

Abstract

In this paper we discuss the structure of Henstock-Orlicz space with locally Henstock integrable functions. The weak Henstock-Orlicz spaces on ${\mathbb{R}}^n$ and some basic properties of the weak Henstock-Orlicz spaces are studied. We obtain some necessary and sufficient conditions for the inclusion properties of these spaces.

14 pages