On lattice properties of the Lorentz spaces \(L_{p,q}\)

DOI10.1134/S0001434623010029OpenAlexW4323821523MaRDI QIDQ2690951

Serguei V. Astashkin

Publication date: 17 March 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623010029

zbMATH Keywords

Banach latticeLorentz spacerearrangement-invariant spacefinite representability\(\mathcal{K}\)-functionalupper (lower) estimate

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) Local theory of Banach spaces (46B07) Banach lattices (46B42)

Related Items (1)

On various notions of representability of \(l_r\)-spaces in Orlicz function spaces

Cites Work

• The \(K\)-functional for \(p\)-convexifications
• Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi-axis
• Krivine's theorem and the indices of a Banach lattice
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• Symmetric finite representability of \(\ell^p\)-spaces in rearrangement invariant spaces on \((0,\infty)\)
• Arazy-Cwikel property for quasi-Banach couples
• Some Banach space embeddings of classical function spaces
• (p,q)-Convexity in quasi-Banach lattices and applications
• Symmetric structures in Banach spaces
• Inequalities for Sums of Independent Random Variables
• Finite representability of $ℓ_{p}$-spaces in symmetric spaces
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