Almost everywhere convergence of cone-like restricted two-dimensional Fejér means with respect to Vilenkin-like systems

DOI10.1090/S1061-0022-2014-01309-XzbMath1302.42044OpenAlexW2084920429MaRDI QIDQ2931154

Károly Nagy

Publication date: 24 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2014-01309-x

zbMATH Keywords

Vilenkin systempointwise convergenceFejér meansVilenkin grouporthonormal systemscompact totally disconnected grouptwo-dimensional Fourier series

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75)

Related Items (1)

On the maximal operators of Fejér means with respect to the character system of the group of 2-adic integers in Hardy spaces

Cites Work

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• Pointwise convergence of cone-like restricted two-dimensional Fejér means of Walsh-Fourier series
• On the convergence in \(L^1\)-norm of Cesàro means with respect to representative product systems
• Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
• On (C,1) summability for Vilenkin-like systems
• Cesaro Summability of Double Walsh-Fourier Series
• Fourier Analysis on Local Fields. (MN-15)
• Cesàro Summability of Two-dimensional Walsh-Fourier Series
• On the divergence of the $(C,1)$ means of double Walsh-Fourier series
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces

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