Lacunary sets and function spaces with finite cotype

DOI10.1006/jfan.2001.3831zbMath0994.43003OpenAlexW2038434802MaRDI QIDQ1604550

Daniel Li, Pascal Lefèvre, Hervé Queffélec, Luis Rodríguez-Piazza

Publication date: 4 July 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3831

zbMATH Keywords

Sidon setsOrlicz spacecotypesumming operatorsuniformly convergent Fourier series\(p\)-Rider sets

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46)

Related Items (6)

𝑝-Rider sets are 𝑞-Sidon sets ⋮ On the structure of spaces of uniformly convergent Fourier series ⋮ Some examples of compact composition operators on \(H^2\) ⋮ Some new thin sets of integers in harmonic analysis ⋮ On some random thin sets of integers ⋮ Thin sets of integers in harmonic analysis and \(p\)-stable random Fourier series

Cites Work

• Bounded orthogonal systems and the \(\Lambda\) (p)-set problem
• Randomly continuous functions and Sidon sets
• Sections of smooth convex bodies via majorizing measures
• Some properties of trigonometric series whose terms have random signs
• Six Standard Deviations Suffice
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• On some properties of the class of stationary sets
• Arithmetic characterizations of Sidon sets
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