Littlewood-Paley and Multiplier Theorems for Vilenkin-Fourier Series

DOI10.4153/CJM-1994-036-3zbMath0818.42010MaRDI QIDQ4301775

Wo-Sang Young

Publication date: 14 August 1994

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Walsh systemmultipliersVilenkin-Fourier seriesWalsh seriesLittlewood-Paley theorems

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) Multipliers in one variable harmonic analysis (42A45)

Related Items (5)

Littlewood-Paley-Rubio de Francia inequality for unbounded Vilenkin systems ⋮ Almost everywhere convergence of lacunary partial sums of Vilenkin-Fourier series ⋮ Marcinkiewicz multiplier theorem and the Sunouchi operator for Ciesielski--Fourier series ⋮ Walsh Multipliers for Dyadic Hardy Spaces ⋮ Estimates of entropy for multiplier operators of systems of orthonormal functions

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