The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure

DOI10.1016/j.jmaa.2018.10.001zbMath1423.46047OpenAlexW2894728180MaRDI QIDQ1799776

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

Publication date: 19 October 2018

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.2018.10.001

zbMATH Keywords

vector measurecompactnessuniform integrabilityOrlicz spaces

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) Compactness in Banach (or normed) spaces (46B50)

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Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation ⋮ Compactness in quasi-Banach function spaces with applications to \(L^1\) of the semivariation of a vector measure ⋮ When and where the Orlicz and Luxemburg (quasi-) norms are equivalent? ⋮ Countable additivity of Henstock-Dunford integrable functions and Orlicz space

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