Continuity of conditional expectation in Orlicz spaces

2025/10/25 by Hosseini, A., Estaremi, Y.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2510.22151

Abstract

The continuity of conditional expectation on Orlicz spaces is investigated. Indeed, we provide some necessary and sufficient conditions on a sequence \A_n\_n∈ℕ of σ-subalgebras for L^φ-convergence of the related conditional expectations. Our results generalize similar results in L^p-spaces.

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