A generalized Khintchine inequality in rearrangement invariant spaces

DOI10.1007/s10688-008-0021-7zbMath1167.46019OpenAlexW2149939701MaRDI QIDQ1002811

Serguei V. Astashkin

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-008-0021-7

zbMATH Keywords

Khintchine inequalityrearrangement invariant spaceBoyd indicesindependent functionsKruglov propertyRademacher system

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) Probabilistic methods in Banach space theory (46B09)

Related Items (1)

Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi-axis

Cites Work

• Martingale inequalities in rearrangement invariant function spaces
• Sums of independent random variables in rearrangement invariant function spaces
• Rademacher series in symmetric spaces
• Series of independent random variables in rearrangement invariant spaces: an operator approach
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