Extraction of subsystems ``majorized by the Rademacher system

DOI10.1007/BF02675354zbMath0969.46021OpenAlexW1965382143MaRDI QIDQ1569752

Serguei V. Astashkin

Publication date: 3 July 2001

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

Full work available at URL: https://doi.org/10.1007/bf02675354

zbMATH Keywords

random variablesprobability spaceRademacher systemuniformly bounded orthonormal systemequivalence principle for distribution functionsHolmstedt's formula

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Abstract interpolation of topological vector spaces (46M35) (L^p)-limit theorems (60F25)

Related Items (3)

On comparing systems of random variables with the Rademacher sequence ⋮ On the comparison of distribution functions of random variables ⋮ Rademacher functions in symmetric spaces

Cites Work

• On the distribution of the roots of certain congruences and a problem for additive arithmetic functions
• On the distribution of Sidon series
• The Distribution of Rademacher Sums
• On the best constants in the Khinchin inequality
• LACUNARY SERIES AND INDEPENDENT FUNCTIONS
• Interpolation of Quasi-Normed Spaces.
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