Fatou's lemmas for the set of integrable selections

DOI10.1016/0022-247X(92)90202-OzbMath0771.28011OpenAlexW2094262413WikidataQ124813369 ScholiaQ124813369MaRDI QIDQ1206844

Jian-Hua Wang

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90202-o

zbMATH Keywords

dominated convergence theoremintegrable selectionsFatou lemmaintegrably bounded measurable multifunctionweak limit inferior

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20)

Related Items (1)

Weak sequential convergence in \(L^1(\mu,X)\) and an exact version of Fatou's lemma

Cites Work

• A representation theorem for Aumann integrals
• Weak sequential convergence in \(L_ 1(\mu,X)\) and an approximate version of Fatou's lemma
• Fatou's lemma in infinite dimensions
• Weak sequential convergence in \(L_ p(\mu,X)\)
• Fatou's Lemma in Infinite-Dimensional Spaces
• Measurable relations
• Remarks on Weak Compactness in L₁(μ,X)

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