The Hardy-Littlewood theorem for trigonometric series with generalized monotone coefficients

DOI10.3103/S1066369X08050046zbMath1157.42302MaRDI QIDQ1006966

M. I. D'yachenko

Publication date: 26 March 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier seriesgeneralized monotone coefficientsthe Hardy-Littlewood theorem

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (3)

On \(L_p\)-convergence of Cesàro means for Fourier series with monotonic coefficients ⋮ Functions with general monotone Fourier coefficients ⋮ Fourier-Price coefficients of class GM and best approximations of functions in the Lorentz space \(L_{p\theta}[0, 1)\), \(1<p<+\infty\), \(1<\theta<+\infty\)

Cites Work

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