Independent functions in rearrangement invariant spaces and the Kruglov property

DOI10.1070/SM2008v199n07ABEH003948zbMath1280.46015OpenAlexW2069599474MaRDI QIDQ4904392

Serguei V. Astashkin

Publication date: 29 January 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2008v199n07abeh003948

zbMATH Keywords

symmetric spacesrearrangement invariant spacesBanach function spacesKruglov property

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) Banach lattices (46B42)

Related Items (6)

Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi-axis ⋮ The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\) ⋮ Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property ⋮ Rademacher functions in symmetric spaces ⋮ Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces ⋮ Martingale transforms of the Rademacher sequence in rearrangement invariant spaces

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