Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space

DOI10.1016/S0252-9602(14)60106-5zbMath1324.42043arXiv1410.7977OpenAlexW2963141038MaRDI QIDQ2350450

Giorgi Tephnadze

Publication date: 29 June 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7977

zbMATH Keywords

modulus of continuityWalsh-Kaczmarz systemFejér meansmartingale Hardy space

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30)

Related Items (12)

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 ⋮ The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces ⋮ Unnamed Item ⋮ Strong convergence theorem for Walsh-Kaczmarz-Fejér means ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\) ⋮ Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces ⋮ Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems ⋮ Unnamed Item ⋮ Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems

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