Necessary conditions for the $L^{p}$-convergence $(0<p<1)$ of single and double trigonometric series

DOI10.21136/MB.2014.143637zbMath1340.42009OpenAlexW2596495410MaRDI QIDQ2925942

Ferenc Móricz, Péter Kórus, Xhevat Z. Krasniqi

Publication date: 29 October 2014

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143637

zbMATH Keywords

trigonometric seriesBernstein-Zygmund inequalities for the derivative of trigonometric polynomials in \(L^{p}\)-metric for \(0<p<1\)Hardy-Littlewood inequality for functions in \(H^{p}\)necessary conditions for the convergence in \(L^{p}\)-metric

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Harmonic analysis in several variables (42B99) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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