Strong convergence theorem for Vilenkin--Fejer means
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Publication:2875462
DOI10.5486/PMD.2014.5896zbMath1340.42065arXiv1504.05780MaRDI QIDQ2875462
Giorgi Tephnadze, István Blahota
Publication date: 14 August 2014
Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.05780
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability methods on groups, semigroups, etc. (43A55) Hardy spaces (30H10)
Related Items (17)
On the convergence of Fejér means of Walsh-Fourier series in the space \(H_p\) ⋮ A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means ⋮ 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 ⋮ Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Unnamed Item ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ Strong convergence of two-dimensional Vilenkin-Fourier series ⋮ Strong convergence theorem of Cesàro means with respect to the Walsh system ⋮ Some new results on the strong convergence of Fejér means with respect to Vilenkin systems ⋮ 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 ⋮ Unnamed Item ⋮ Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems
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