The Rosenthal inequality in symmetric spaces

DOI10.1007/BF01090676zbMath0736.46009MaRDI QIDQ1814350

Michael Braverman

Publication date: 25 June 1992

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

zbMATH Keywords

characteristic functionrearrangement invariant spaceBoyd indicesrandom variableLorentz spacesKruglov propertyRosenthal inequalityweak Rosenthal properties

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)

Cites Work

• Unnamed Item
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$

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