On a necessary condition for $L^p$ $(0 < p < 1)$-convergence (upper boundedness) of trigonometric series

DOI10.15330/cmp.7.1.83-90zbMath1321.42007OpenAlexW2337865429MaRDI QIDQ2942074

Xhevat Z. Krasniqi

Publication date: 26 August 2015

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.7.1.83-90

zbMATH Keywords

trigonometric seriesHardy-Littlewood inequality\(L^{p}\)-convergenceBernstein-Zygmund inequalities

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Unnamed Item
• On conditions of the average convergence (upper boundedness) of trigonometric series
• DIRECT AND CONVERSE THEOREMS OF JACKSON TYPE IN $ L^p$ SPACES, $ 0<p<1$

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