Interchanging a limit and an integral: necessary and sufficient conditions

DOI10.1186/S13660-020-02502-WzbMath1503.28002OpenAlexW3104851689MaRDI QIDQ2069586

Takashi Kamihigashi

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02502-w

zbMATH Keywords

uniform integrabilityintegrable functionsVitali convergence theorem\(\sigma\)-finite measure space

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25)

Related Items (1)

Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains

Cites Work

• Unnamed Item
• Unnamed Item
• A generalization of Fatou's lemma for extended real-valued functions on \(\sigma\)-finite measure spaces: with an application to infinite-horizon optimization in discrete time
• On Interchanging Limits and Integrals
• On the Interchange of Limit and Lebesgue Integral for a Sequence of Functions
• Measures, Integrals and Martingales
• A Useful Convergence Theorem for Probability Distributions

This page was built for publication: Interchanging a limit and an integral: necessary and sufficient conditions