On the convergence in \(L^1\)-norm of Cesàro means with respect to representative product systems

DOI10.1007/S10474-008-8065-YzbMath1265.42094OpenAlexW1990860368MaRDI QIDQ1046873

György Gát, Rodolfo Toledo

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-8065-y

zbMATH Keywords

representative product systemsCesàro means of order \(\alpha\)convergence in \(L^p\) normdivergence in \(L^p\) normnon-commutative Vilenkin groups

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

Almost everywhere convergence of cone-like restricted two-dimensional Fejér means with respect to Vilenkin-like systems ⋮ Maximal operators of Walsh–Kaczmarz logarithmic means

Cites Work

• Cesàro means of Fourier series with respect to multiplicative systems
• \(L^ p\)-norm convergence of series in compact, totally disconnected groups
• Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers
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