Countable additivity of Henstock-Dunford Integral and Orlicz Space

Given a real Banach space $\mathcal{X}$ and probability space $(\Omega, \Sigma, \mu)$ we characterize the countable additivity of Henstock-Dunford integral for Henstock integrable function taking values in $X$ as those weakly measurable function $g:\mathrm{\Omega }\to \mathcal{X}$ for which ${y^g~: y^ \in B_$\mathcal{X}$^* } $ is relatively weakly compact in some separable Orlicz space ${\mathcal{L}}^{\bar{\varphi }}(\mu )\mathrm{.}$ We find relatively weakly compact in some Orlicz space with Henstock-Gel’fand integral.