On an approximation of 2-dimensional Walsh-Fourier series in martingale Hardy spaces

DOI10.1215/20088752-2017-0032zbMath1382.42017OpenAlexW2763657093MaRDI QIDQ1697818

Lars-Erik Persson, Giorgi Tephnadze, Peter Wall

Publication date: 20 February 2018

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1507169076

zbMATH Keywords

Walsh systemFourier seriesmartingale Hardy spacestrong summability2-dimensional modulus of continuity

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (10)

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 ⋮ A note on the strong convergence of partial sums with respect to Vilenkin system ⋮ On the \(L^1\) norm of the logarithmic kernel of Walsh-Kaczmarz Fourier series ⋮ 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 ⋮ A note on the strong summability of two-dimensional Walsh-Fourier series ⋮ 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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