Inequalities for sums of independent random variables in Lorentz spaces

DOI10.1216/RMJ-2015-45-5-1631zbMath1342.46033MaRDI QIDQ908263

Ghadir Sadeghi

Publication date: 4 February 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1453817257

zbMATH Keywords

interpolationLorentz spacerandom variableLorentz-Zygmund spaceRosenthal inequalityKhinchin inequality

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Cites Work

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• Spaces \(\Lambda_\alpha\)(X) and interpolation
• Interpolation with a parameter function.
• A function parameter in connection with interpolation of Banach spaces.
• Inequalities for Sums of Independent Random Variables

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