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arXiv · 2510.22151

Continuity of conditional expectation in Orlicz spaces

A. Hosseini·Y. Estaremi
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Abstract

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 $L^{\varphi}$-convergence of the related conditional expectations. Our results generalize similar results in $L^p$-spaces.

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A. Hosseini, Y. Estaremi. 2025-10-25. Continuity of conditional expectation in Orlicz spaces. https://arxiv.org/abs/2510.22151

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