\((C,\alpha)\) summability of Walsh-Fourier series

DOI10.1023/A:1014364010470zbMath0992.42016OpenAlexW2369623420MaRDI QIDQ1603240

Ferenc Weisz

Publication date: 25 June 2002

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014364010470

zbMATH Keywords

Cesàro meanssummabilitypointwise convergenceWalsh-Fourier seriesdyadic martingalesmartingale Hardy-Lorentz space

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Martingales and classical analysis (60G46) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (22)

Martingale Orlicz-Hardy spaces ⋮ Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications ⋮ Almost everywhere summability of two-dimensional Walsh-Fourier series ⋮ On the Nörlund means of Vilenkin-Fourier series ⋮ Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh-Fourier series ⋮ Some properties of the Walsh-Nörlund means ⋮ \((H_p-L_p)\)-type inequalities for subsequences of Nörlund means of Walsh-Fourier series ⋮ Some weak type inequalities and almost everywhere convergence of Vilenkin-Nörlund means ⋮ Almost everywhere divergence of Cesàro means with varying parameters of Walsh-Fourier series ⋮ Norm and almost everywhere convergence of matrix transform means of Walsh-Fourier series ⋮ Cesáro and Riesz summability with varying parameters of multi-dimensional Walsh-Fourier series ⋮ Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces ⋮ On convergence of negative order cesaro means of the Fourier-Walsh series in \(L_p(p > 1)\) metrics ⋮ On the \((C,\alpha)\)-means with respect to the Walsh system ⋮ Weak inequalities for Cesàro and Riesz summability of Walsh-Fourier series ⋮ Maximal operators of Vilenkin-Nörlund means ⋮ A weak type inequality for the maximal operator of \((C,\alpha)\)-means of Fourier series with respect to the Walsh-Kaczmarz system ⋮ Conjugate transforms on dyadic group ⋮ Strong convergence theorem of Cesàro means with respect to the Walsh system ⋮ (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series ⋮ On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh-Fourier series ⋮ Variable martingale Hardy spaces and their applications in Fourier analysis

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