Compactness in quasi-Banach function spaces with applications to \(L^1\) of the semivariation of a vector measure

DOI10.1007/s13398-020-00840-4zbMath1447.46029OpenAlexW3016755807MaRDI QIDQ2175891

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

Publication date: 30 April 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00840-4

zbMATH Keywords

vector measurecompactnessuniform integrabilityOrlicz spacessemivariationuniform absolute continuityde la Vallée-Poussin's theorem

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) Vector-valued measures and integration (46G10) Compactness in Banach (or normed) spaces (46B50)

Related Items

Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation ⋮ Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices ⋮ When and where the Orlicz and Luxemburg (quasi-) norms are equivalent? ⋮ The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\)

Cites Work

• Real interpolation method on spaces of scalar integrable functions with respect to vector measures
• Zur schwachen Kompaktheit in Banachverbänden
• Compactness of integral operators in Banach function spaces
• Optimal domain and integral extension of operators, acting in function spaces
• Banach lattices
• The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure
• A note on real interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings
• Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces
• Symmetric structures in Banach spaces
• Indices, convexity and concavity of Calderón-Lozanovskii spaces
• Reflexivity of function spaces associated to a \(\sigma\)-finite vector measure
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