Abstract
A necessary and sufficient condition on a sequence {An}n∈Nof σ-subalgebras that assuresLp-convergence of the conditional expectations is given. This result generalizes theLp-martingales, the Fetter and the Boylan (equiconvergence) theorems. © 1998 Academic Press.
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CITATION STYLE
APA
Alonso, A., & Brambila-Paz, F. (1998). Lp-Continuity of Conditional Expectations. Journal of Mathematical Analysis and Applications, 221(1), 161–176. https://doi.org/10.1006/jmaa.1998.5818
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