Weak Henstock-Orlicz space and inclusion properties

TL;DR

This paper explores the structure and inclusion properties of weak Henstock-Orlicz spaces on ^n, providing foundational insights into their basic properties and conditions for space inclusion.

Contribution

It introduces the weak Henstock-Orlicz space framework and establishes necessary and sufficient conditions for their inclusion properties, expanding the understanding of these function spaces.

Findings

Characterization of weak Henstock-Orlicz spaces on ^n

Necessary and sufficient conditions for space inclusion

Basic properties of weak Henstock-Orlicz spaces

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.