Continuity of conditional expectation in Orlicz spaces

The continuity of conditional expectation on Orlicz spaces is investigated. Indeed, we provide some necessary and sufficient conditions on a sequence $\{{\mathcal{A}}_n{\}}_{n\in \mathbb{N}}$ of $\sigma$-subalgebras for $L^{\phi }$-convergence of the related conditional expectations. Our results generalize similar results in $L^p$-spaces.