Relations between summability of functions and their Fourier series

DOI10.1007/BF01902104zbMath0337.42002OpenAlexW1983070135MaRDI QIDQ4103967

Lars-Erik Persson

Publication date: 1976

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01902104

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (8)

Hardy-Littlewood-Stein inequalities for double trigonometric series ⋮ A new generalization of Boas theorem for some Lorentz spaces Λ_q(ω) ⋮ Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems ⋮ Piecewise general monotone functions and the Hardy-Littlewood theorem ⋮ On inequalities for the Fourier transform of functions from Lorentz spaces ⋮ Some new Stein and Hardy type inequalities ⋮ Some Fourier inequalities for orthogonal systems in Lorentz-Zygmund spaces ⋮ Some new Fourier inequalities for unbounded orthogonal systems in Lorentz-Zygmund spaces

Cites Work

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• Integrability conditions in periodic functions related to their Fourier transforms
• Extrapolation of absolutely convergent Fourier series by identically zero
• On L(p,q) spaces
• Theorems on Fourier series and power series
• Some new functional spaces
• Interpolation of Linear Operators
• Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants

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