Multiplicative inequalities for the \(L_{1}\) norm: applications in analysis and number theory

DOI10.1134/S0081543806040055zbMath1329.42003MaRDI QIDQ2342257

S. V. Bochkarev

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Littlewood-Paley functionsLebesgue functionsdyadic martingale\(L_{1}\) norm

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric and exponential sums (general theory) (11L03) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (3)

On a problem of Bourgain concerning the \(L^1\)-norm of exponential sums ⋮ Additive properties of slowly increasing convex sets ⋮ De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra

Cites Work

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• On Another Sieve Method and the Numbers that are a Sum of Two h th Powers
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