Local geometric properties in quasi-normed Orlicz spaces

DOI10.4064/BC119-12zbMath1447.46017arXiv1911.10256OpenAlexW2996480336WikidataQ126534008 ScholiaQ126534008MaRDI QIDQ5208970

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Publication date: 22 January 2020

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10256

zbMATH Keywords

Orlicz spaces\(p\)-convexity\(q\)-concavityB-convexityquasi-normed spacesMatuszewska-Orlicz indexcondition \(\Delta ^{\ast p}\)condition \(\Delta ^{q}\)type, cotype

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) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Classical Banach spaces in the general theory (46B25) Linear operators on function spaces (general) (47B38) Banach sequence spaces (46B45)

Related Items (1)

Symmetric spaces of measurable functions: some new and old advances

Cites Work

• Orlicz spaces and modular spaces
• Indices, convexity and concavity in Musielak-Orlicz spaces
• Convexity, type and three space problem
• TYPE AND ORDER CONVEXITY OF MARCINKIEWICZ AND LORENTZ SPACES AND APPLICATIONS
• A note on type of weak-$L^1$ and weak-$\ell ^1$ spaces
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