Convergence of conditional expectations in Banach function spaces

DOI10.1006/JMAA.1999.6352zbMath0943.60006MaRDI QIDQ1295895

Masato Kikuchi

Publication date: 30 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

conditional expectationBanach function space

Mathematics Subject Classification ID

Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Convergence of weighted averages of martingales in Banach function spaces

Cites Work

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• On the continuity of conditional expectations
• BMO-martingales and inequalities
• Weighted norm inequalities for martingales
• Weight functions on probability spaces
• \(L^p\)-continuity of conditional expectations
• Some remarks on ratio inequalities for continuous martingales
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces

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