An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices

DOI10.21136/CMJ.2021.0355-20OpenAlexW3173597020MaRDI QIDQ5016087

Alexei Yu. Karlovich, Eugene Shargorodsky

Publication date: 10 December 2021

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

Full work available at URL: https://doi.org/10.21136/cmj.2021.0355-20

zbMATH Keywords

reflexivityBoyd indicesZippin indicesLorentz Gamma space

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) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (2)

Remark on singular integral operators of convolution type on rearrangement-invariant Banach function spaces ⋮ On the weak convergence of shift operators to zero on rearrangement-invariant spaces

Cites Work

• The rearrangement-invariant space \(\Gamma _{p,\phi}\)
• Relationships between \(K\)-monotonicity and rotundity properties with application
• Discretization and anti-discretization of rearrangement-invariant norms
• On Lorentz spaces \(\Gamma_{p,w}\)
• Interpolation of operators of weak type between rearrangement invariant function spaces
• Boundedness of classical operators on classical Lorentz spaces
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Function Spaces
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