Inequalities related to smoothness conditions and Fourier series

DOI10.1007/BF01876203zbMath0827.42004MaRDI QIDQ1346283

Masakiti Kinukawa

Publication date: 7 December 1995

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

absolute summabilitysmoothness conditions\(| C,\alpha|\)-summabilityBeurling normFourier series with monotone coefficientsLittlewood-Paley norm

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Absolute and strong summability (40F05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

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• Asymptotics of singular numbers of smooth kernels via trigonometric transforms
• Inequalities of Hardy-Littlewood type
• Lipschitz classes and Fourier series of stochastic processes
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• Über Strukturbedingungen für Fourierreihen
• On the convolution algebra of Beurling
• Contractions of Fourier transforms in \(R_k\)
• Beurling’s test for absolute convergence of Fourier series
• On relations of coefficient-conditions
• Lipschitz Spaces, Littlewood-Paley Spaces, and Convoluteurs
• The L p Modulus of Continuity and Fourier Series of Lipschitz Functions
• Fourier Transforms on Lipschitz Spaces and Littlewood-Paley Spaces
• On cosine series with positive coefficients
• On the absolute convergence of Fourier series

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