Hardy-type theorems on Fourier transforms revised

DOI10.1016/j.jmaa.2018.06.072zbMath1395.42003OpenAlexW2811419450WikidataQ129602235 ScholiaQ129602235MaRDI QIDQ1659288

E. D. Nursultanov, Sergey Yu. Tikhonov, M. I. D'yachenko

Publication date: 15 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2072/445807

zbMATH Keywords

Hardy-Littlewood theoremHausdorff-Young-Paley inequalityHardy and Hardy-Cesàro averages

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

Piecewise general monotone functions and the Hardy-Littlewood theorem ⋮ Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\) ⋮ 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]

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