On the two-dimensional Marcinkiewicz means with respect to Walsh--Kaczmarz system
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Publication:854927
DOI10.1016/j.jat.2006.03.013zbMath1105.42021OpenAlexW1976095732MaRDI QIDQ854927
Publication date: 7 December 2006
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2006.03.013
Walsh-Kaczmarz systemalmost everywhere convergencetwo-variable functionsWalsh groupMarcinkiewicz means
Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (5)
On convergence properties of tensor products of some operator sequences ⋮ Strong approximation by Marcinkiewicz means of twodimensional Walsh-Kaczmarz-Fourier series ⋮ The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces ⋮ Convergence in measure of logarithmic means of quadratical partial sums of double Walsh-Kaczmarz-Fourier series ⋮ Approximation of the quadratic partial sums of double Walsh-Kaczmarz-Fourier series by Nörlund means
Cites Work
- Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
- On Fourier series with respect to the Walsh-Kaczmarz system
- Distribution function inequalities for martingales
- Pointwise convergence of expansions with respect to certain product systems
- On \(L^p\)-norm convergence of series with respect to product systems
- Cesàro summability of the character system of the \(p\)-series field in the Kaczmarz rearrangement
- \(L^ p\)-norm convergence of series in compact, totally disconnected groups
- Pointwise convergence of double Vilenkin-Fejér means
- Cesaro Summability of Double Walsh-Fourier Series
- On (C,1) summability of integrable functions with respect to the Walsh-Kaczmarz system
- On the A.E. Convergence of Walsh-Kaczmarz-Fourier Series
- Cesàro Summability of Two-dimensional Walsh-Fourier Series
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