Weighted Estimates for the Discrete Hilbert Transform

DOI10.1007/978-3-319-27466-9_5zbMath1342.42008OpenAlexW2462498378MaRDI QIDQ2813536

Elijah Liflyand

Publication date: 24 June 2016

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27466-9_5

zbMATH Keywords

monotonicityHilbert transformweighted integrabilitydiscrete Hilbert transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Monotonic functions, generalizations (26A48) Conjugate functions, conjugate series, singular integrals (42A50) Harmonic analysis in one variable (42A99) Convergence and divergence of infinite limiting processes (40A99)

Related Items (5)

On the boundedness of the Hilbert transform from weighted Sobolev space to weighted Lebesgue space ⋮ ON THE SUMMABILITY OF THE DISCRETE HILBERT TRANSFORM ⋮ Re-expansions on compact Lie groups ⋮ Properties of the discrete Hilbert transform ⋮ Boundedness of discrete Hilbert transform on discrete Morrey spaces

Cites Work

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• Absolute convergence of Fourier expansions
• Trigonometric series with general monotone coefficients
• Some more theorems concerning Fourier series and Fourier power series
• A concept of general monotonicity and applications
• Two power-weight inequalities for the Hilbert transform on the cones of monotone functions
• Inequalities with Weights for Discrete Hilbert Transforms^✝
• Weighted Norm Inequalities for Hilbert Transforms and Conjugate Functions of Even and Odd Functions
• The Discrete Nature of the Paley-Wiener Spaces
• Notes on the Theory and Application of Fourier Transforms. I-II
• A note on Hilbert’s operator

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