Weighted Paley-Wiener theorem on the Hilbert transform

DOI10.1016/j.crma.2010.10.028zbMath1210.42019OpenAlexW2054074360MaRDI QIDQ616727

Elijah Liflyand, Sergey Yu. Tikhonov

Publication date: 12 January 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.028

zbMATH Keywords

Hilbert transformeven/odd functionweighted Paley-Wiener theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (8)

Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Asymptotic Behavior of the Fourier Transform of a Function of Bounded Variation ⋮ Fourier transform versus Hilbert transform ⋮ Two-weight inequalities for the Hilbert transform of monotone functions ⋮ On Fourier re-expansions ⋮ Asymptotics of the Fourier sine transform of a function of bounded variation ⋮ The Fourier transform of a function of bounded variation: symmetry and asymmetry ⋮ New Paley-Wiener theorems

Cites Work

• Unnamed Item
• Trigonometric series with general monotone coefficients
• Some more theorems concerning Fourier series and Fourier power series
• The Fourier Transforms of General Monotone Functions
• A concept of general monotonicity and applications
• Some Theorems on Odd and Even Functions
• Weighted Norm Inequalities for Hilbert Transforms and Conjugate Functions of Even and Odd Functions
• Notes on the Theory and Application of Fourier Transforms. I-II
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• A note on Hilbert’s operator

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