Hardy-Littlewood type inequalities for Vilenkin-Fourier coefficients

DOI10.1007/BF02771078zbMath0913.42020OpenAlexW2316552537MaRDI QIDQ1280268

Peter L. Simon, Ferenc Weisz

Publication date: 14 March 1999

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

Full work available at URL: https://doi.org/10.1007/bf02771078

zbMATH Keywords

Hardy spacesHardy type inequalityVilenkin-Fourier coefficientsVilenkin system of unbounded type

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) Inequalities for sums, series and integrals (26D15)

Related Items

Maximal functions, Hardy spaces and Fourier multiplier theorems on unbounded Vilenkin groups, Strong convergence theorem for Vilenkin-Fourier series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Dirichlet kernels and a Hardy space with respect to the Vilenkin system
• Distribution function inequalities for martingales
• Absolute summability of Walsh-Fourier series
• Martingale Hardy spaces and their applications in Fourier analysis
• On the integrability of the martingale square function
• \(H^p\) spaces of several variables
• Inequalities relative to two-parameter Vilenkin-Fourier coefficients
• On Walsh series with coefficients tending monotonically to zero
• Extensions of Hardy spaces and their use in analysis
• An application of two-parameter martingales in harmonic analysis
• Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants
• On Double Cosine, Sine, and Walsh Series with Monotone Coefficients
• Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
• Two-parameter Hardy-Littlewood inequalities