On the Dirichlet kernels and a Hardy space with respect to the Vilenkin system

DOI10.1007/BF01955039zbMath0577.42021OpenAlexW2076253071MaRDI QIDQ1066034

Peter L. Simon, Sandor Fridli

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01955039

zbMATH Keywords

Dirichlet kernelcomplete orthonormal systemsVilenkin-Fourier coefficients

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (6)

Investigations of certain operators with respect to the Vilenkin system ⋮ A note on the strong convergence of partial sums with respect to Vilenkin system ⋮ On the lower bound of Sunouchi's operator with respect to Vilenkin systems ⋮ Unnamed Item ⋮ Hardy-Littlewood type inequalities for Vilenkin-Fourier coefficients ⋮ Fourier multiplier theorem for atomic Hardy spaces on unbounded Vilenkin groups

Cites Work

• On generalized Walsh Fourier series
• Lebesgue functions and multiple function series. I
• Extensions of Hardy spaces and their use in analysis
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