Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups

DOI10.1006/jath.1999.3346zbMath0972.42019OpenAlexW2085336295MaRDI QIDQ1960897

György Gát

Publication date: 7 November 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3346

zbMATH Keywords

Vilenkin-Fourier seriesVilenkin groupFejér kernelsmaximal Cesàro operator

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75)

Related Items (10)

An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ On the pointwise convergence of Cesàro means of two-variable functions with respect to unbounded Vilenkin systems ⋮ On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups ⋮ Weak type estimate for the partial sums of Noncommutative Vilenkin-Fourier series ⋮ Cesàro means of integrable functions with respect to unbounded Vilenkin systems ⋮ Pointwise strong summability of Vilenkin-Fourier series ⋮ Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups ⋮ Norm summability of Nörlund logarithmic means on unbounded Vilenkin groups ⋮ Almost everywhere convergence of Fejér means of \(L^{1}\) functionson rarely unbounded Vilenkin groups ⋮ Boundedness of Cesàro and Riesz means in variable dyadic Hardy spaces

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