The Hardy-Littlewood theorem for multiple Fourier series with monotone coefficients

DOI10.1134/S0001434616030238zbMath1350.42013OpenAlexW2403811236MaRDI QIDQ325659

E. D. Nursultanov, M. E. Nursultanov, M. I. D'yachenko

Publication date: 18 October 2016

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

Full work available at URL: https://doi.org/10.1134/s0001434616030238

zbMATH Keywords

multiple Fourier seriesHardy-Littlewood theoremtrigonometric polynomial

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (2)

Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences ⋮ The Hardy-Littlewood theorem for double Fourier-Haar series from mixed metric Lebesgue \(L_{\bar p}[0, 1^2\) and net \(N_{\bar p,\bar q}(M)\) spaces]

Cites Work

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• ON THE CONVERGENCE OF DOUBLE TRIGONOMETRIC SERIES AND FOURIER SERIES WITH MONOTONE COEFFICIENTS
• L p Norms of Certain Kernels on the N-Dimensional Torus
• Net spaces and inequalities of Hardy-Littlewood type
• NORMS OF DIRICHLET KERNELS AND SOME OTHER TRIGONOMETRIC POLYNOMIALS IN $ L_p$-SPACES
• On Double Cosine, Sine, and Walsh Series with Monotone Coefficients

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