The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces

DOI10.1007/s10474-016-0617-yzbMath1399.42081OpenAlexW2400623542MaRDI QIDQ1701329

Giorgi Tephnadze, Károly Nagy

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0617-y

zbMATH Keywords

strong convergencemaximal operatormodulus of continuityWalsh-Kaczmarz systemMarcinkiewicz means

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (14)

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 ⋮ Triangular Cesàro summability and Lebesgue points of two-dimensional Fourier series ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Strong convergence theorem for Walsh-Kaczmarz-Fejér means ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\) ⋮ \(\ell_1\)-summability and Lebesgue points of \(d\)-dimensional Fourier transforms ⋮ Lebesgue points of \(\ell_1\)-Cesàro summability of \(d\)-dimensional Fourier series ⋮ Unnamed Item ⋮ Cesàro summability and Lebesgue points of higher dimensional Fourier series ⋮ Unrestricted Cesàro summability of $d$-dimensional Fourier series and Lebesgue points ⋮ Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods

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