On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
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Publication:4988376
DOI10.7153/oam-2020-14-22zbMath1465.42031arXiv2002.04403OpenAlexW3014526594MaRDI QIDQ4988376
Giorgi Tephnadze, Georgi Tutberidze, Lars-Erik Persson
Publication date: 14 May 2021
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.04403
maximal operatorVilenkin-Fourier seriesVilenkin systemmartingale Hardy spaceVilenkin groupVilenkin-Fejér means
Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (10)
Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series ⋮ Convergence of \(T\) means with respect to Vilenkin systems of integrable functions ⋮ 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 ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Some problems of convergence of general Fourier series ⋮ Unnamed Item ⋮ Strong convergence theorem for Walsh-Kaczmarz-Fejér means ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces ⋮ Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems
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