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A lower bound for the \(L_1\)-norm of a Fourier series of power type.

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Publication:1889497
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DOI10.1023/A:1024070318039zbMath1054.43003OpenAlexW32520955MaRDI QIDQ1889497

Roald M. Trigub

Publication date: 2 December 2004

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

Full work available at URL: https://doi.org/10.1023/a:1024070318039


zbMATH Keywords

Fourier series\(L_1\)-normHardy inequalityLittlewood conjecture


Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) (L^1)-algebras on groups, semigroups, etc. (43A20) Analysis on ordered groups, (H^p)-theory (43A17)


Related Items (3)

Filament plots for data visualization ⋮ Almost everywhere summability of Fourier series with indication of the set of convergence ⋮ Hardy-type inequalities for functions whose Fourier transforms have gaps







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