Sequences of independent functions in rearrangement invariant spaces

DOI10.1134/S0037446621020014zbMath1478.46023OpenAlexW3144869435MaRDI QIDQ2661737

Serguei V. Astashkin

Publication date: 8 April 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621020014

zbMATH Keywords

Rademacher functionsrearrangement invariant spaceOrlicz spaceLuxemburg normindependent functions

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) Interpolation between normed linear spaces (46B70) Probability theory on linear topological spaces (60B11)

Cites Work

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• Embeddings of rearrangement invariant spaces that are not strictly singular
• Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities
• The Rademacher System in Function Spaces
• Symmetric structures in Banach spaces
• Tangent sequences in Orlicz and rearrangement invariant spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q )

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