An integrability theorem for unbounded Vilenkin systems

DOI10.1007/BF02789836zbMath0928.42009OpenAlexW1517732830MaRDI QIDQ1307360

Bruce Aubertin, John J. F. Fournier

Publication date: 31 October 1999

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

Full work available at URL: https://doi.org/10.1007/bf02789836

zbMATH Keywords

Vilenkin systemindexingsymmetry condition

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation
• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• An integrability theorem on unbounded Vilenkin groups
• Hardy and Paley inequalities for fully-odd Vilenkin systems
• On the uniform \((C,1)\)-summability of Fourier series and integrability of series with respect to multiplicative orthonormal systems
• On Walsh-Fourier series
• Certain Groups of Orthonormal Step Functions
• Integrability theorems for trigonometric series
• Fourier Series and Mean Moduli of Continuity
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