Cesàro means of integrable functions with respect to unbounded Vilenkin systems
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Publication:1414071
DOI10.1016/S0021-9045(03)00075-3zbMath1032.43003OpenAlexW2166260167MaRDI QIDQ1414071
Publication date: 19 November 2003
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0021-9045(03)00075-3
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) Analysis on specific locally compact and other abelian groups (43A70)
Related Items (24)
A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means ⋮ An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications ⋮ On the Nörlund means of Vilenkin-Fourier series ⋮ Sharp $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems ⋮ On the pointwise convergence of Cesàro means of two-variable functions with respect to unbounded Vilenkin systems ⋮ Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series ⋮ On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Pointwise strong summability of Vilenkin-Fourier series ⋮ Strong convergence theorems for Walsh-Fejér means ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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 ⋮ On the \((C,\alpha)\)-means with respect to the Walsh system ⋮ Norm convergence of double Fourier series on unbounded Vilenkin groups ⋮ Norm convergence of logarithmic means on unbounded Vilenkin groups ⋮ Almost everywhere convergence of Fejér means of \(L^{1}\) functionson rarely unbounded Vilenkin groups ⋮ Some inequalities related to strong convergence of Riesz logarithmic means ⋮ On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces ⋮ Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces ⋮ Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods ⋮ Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems
Cites Work
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- Distribution function inequalities for martingales
- Cesàro summability of Hardy spaces on the ring of integers in a local field
- Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups
- On the existence of certain singular integrals
- On (C,1) summability for Vilenkin-like systems
- A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
- Certain Groups of Orthonormal Step Functions
- On a generalization of the concept of derivative
- Almost Everywhere Convergence of Vilenkin-Fourier Series
- Fourier series on the ring of integers in a 𝑝-series field
- CESARO SUMMABILITY OF WALSH-FOURIER SERIES
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