Locally integrable functions and their indefinite integrals

DOI10.1007/s40590-021-00339-xzbMath1470.46067OpenAlexW3129619419WikidataQ114219073 ScholiaQ114219073MaRDI QIDQ2024017

Celia Avalos-Ramos

Publication date: 3 May 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00339-x

zbMATH Keywords

Pettis integralvector measureBochner integralspace of integrable functions with respect to a vector measure

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Cites Work

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• On the Banach lattice structure of \(L^1_w\) of a vector measure on a \(\delta \)-ring
• \(L^1\)-spaces of vector measures defined on \(\delta\)-rings
• The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. I: Scalar-valued measures on \(\delta\)-rings
• A unifying Radon-Nikodym theorem for vector measures
• Associate space with respect to a semi-finite measure
• On integrability and summability in vector spaces

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