A note on real interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings

DOI10.1016/j.jmaa.2014.05.039zbMath1309.46007OpenAlexW2036195217MaRDI QIDQ2252312

Antonio Fernández, Francisco Naranjo, Fernando Mayoral, Ricardo del Campo

Publication date: 17 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.05.039

zbMATH Keywords

vector measure\(\delta\)-ringintegrable functionreal interpolation methodsLions-Peetre \(K\)-functionallocally strongly additive measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of operators; tensor products; approximation properties (46B28) Interpolation between normed linear spaces (46B70) Vector-valued measures and integration (46G10)

Related Items (4)

Compactness in quasi-Banach function spaces with applications to \(L^1\) of the semivariation of a vector measure ⋮ Weighted Hardy inequalities, real interpolation methods and vector measures ⋮ Reflexivity of function spaces associated to a \(\sigma\)-finite vector measure ⋮ Unnamed Item

Cites Work

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• The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. I: Scalar-valued measures on \(\delta\)-rings
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• The integration theory of Banach space valued measures and the Tonelli- Fubini theorems. II: Pettis integration
• Capacitary function spaces
• Spaces of \(p\)-integrable functions with respect to a vector measure
• On integrability and summability in vector spaces
• Spaces of p-integrable functions with respect to a vector measure defined on a δ-ring

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