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Vector-valued sums of independent functions in rearrangement invariant spaces

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Publication:630281
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DOI10.1007/s11202-010-0060-1zbMath1270.60010OpenAlexW2115248301MaRDI QIDQ630281

Serguei V. Astashkin

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1007/s11202-010-0060-1


zbMATH Keywords

Rademacher functionsrearrangement invariant spaceOrlicz spaceindependent random variablesBoyd indicesGaussian random variable


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Compactness in Banach (or normed) spaces (46B50) Probability theory on linear topological spaces (60B11)


Related Items (2)

On the stability of Thomson's vortex pentagon inside a circular domain ⋮ Nonlinear stability analysis of a regular vortex pentagon outside a circle



Cites Work

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  • Rademacher series in symmetric spaces
  • Complemented Hilbertian subspaces in rearrangement invariant function spaces
  • The Khintchine inequalities and martingale expanding sphere of their action
  • Relations Between Function Spaces


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