Weak type inequalityy for the maximal operator of the \((C,\alpha)\) means of two-dimensional Walsh-Fourier series

zbMath1240.42127MaRDI QIDQ555497

Ushangi Goginava

Publication date: 22 July 2011

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

Cesàro summabilityWalsh-Fourier seriescubical partial sumsHardy spaces, atoms

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) (H^p)-spaces (42B30)

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Almost everywhere convergence of Cesàro-Marcinkiewicz means of two-dimensional Fourier series on the group of \(2\)-adic integers ⋮ On the Nörlund means of Vilenkin-Fourier series ⋮ Weak type inequalities for the \(\ell_1\)-summability of higher dimensional Fourier transforms ⋮ Strong convergence of two-dimensional Vilenkin-Fourier series ⋮ On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh-Fourier series

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