The maximal \((C,\alpha,\beta)\) operator of two-parameter Walsh-Fourier series

DOI10.1007/BF02510145zbMath0977.42011OpenAlexW1986726130MaRDI QIDQ1581066

Ferenc Weisz

Publication date: 14 September 2000

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59649

zbMATH Keywords

maximal operatordouble Walsh-Fourier series\((C,\alpha,\beta)\) meansdyadic martingale Hardy spaces

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)

Related Items (6)

Almost everywhere summability of two-dimensional Walsh-Fourier series ⋮ The two-dimensional Fejér means on diagonal Hardy space ⋮ Restricted maximal operators of Fejér means of double Walsh-Fourier series ⋮ Maximal operators of Fejér means of double Walsh-Fourier series ⋮ Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis ⋮ Convergence in measure of Fejér means of two parameter conjugate Walsh transforms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic variation for a class of L lo\(g^ +\,L\)-bounded two-parameter martingales
• Martingale Hardy spaces and their applications in Fourier analysis
• Cesàro summability of two-parameter trigonometric-Fourier series
• A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
• Cesaro Summability of Double Walsh-Fourier Series
• A Remarkable Series of Orthogonal Functions (I)
• On the Walsh Functions
• On Approximation by Walsh Functions
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES
• Cesàro summability of two-parameter Walsh-Fourier series

This page was built for publication: The maximal \((C,\alpha,\beta)\) operator of two-parameter Walsh-Fourier series