Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series

DOI10.4064/SM-117-2-173-194zbMath0839.42009OpenAlexW309303424MaRDI QIDQ4862958

Ferenc Weisz

Publication date: 7 March 1996

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

Full work available at URL: https://eudml.org/doc/216250

zbMATH Keywords

strong convergenceatomic decompositionHardy-Littlewood inequalityWalsh-Fourier seriesBMO spacesmartingale Hardy spaceMarcinkiewicz-Zygmund type inequalityclassical Hardy spacetrigonometric-Fourier series

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) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (11)

Strong convergence of two-dimensional Walsh-Fourier series ⋮ Strong convergence theorems for Walsh-Fejér means ⋮ On the \((C,\alpha)\)-means with respect to the Walsh system ⋮ Strong convergence theorem for Vilenkin-Fourier series ⋮ Strong convergence of two-dimensional Vilenkin-Fourier series ⋮ Strong convergence theorem of Cesàro means with respect to the Walsh system ⋮ On the partial sums of Vilenkin-Fourier series ⋮ A note on the strong summability of two-dimensional Walsh-Fourier series ⋮ Some new results on the strong convergence of Fejér means with respect to Vilenkin systems ⋮ Hardy-Littlewood type inequalities for Vilenkin-Fourier coefficients ⋮ Some inequalities related to strong convergence of Riesz logarithmic means

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