An Elementary Proof of the Square Summability of the Discrete Hilbert Transform

DOI10.2307/2974910zbMath0866.26014OpenAlexW4256303212WikidataQ56339853 ScholiaQ56339853MaRDI QIDQ4305683

Loukas Grafakos

Publication date: 7 July 1997

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2974910

zbMATH Keywords

Hilbert's inequalitydiscrete Hilbert transformsquare summability

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (7)

Calderón-Zygmund operators on amalgam spaces and in the discrete case ⋮ A new refinement of the arithmetic mean -- geometric mean inequality ⋮ Sampling and interpolation for the discrete Hilbert and Kak–Hilbert transforms ⋮ The ℓp$\ell ^p$ norm of the Riesz–Titchmarsh transform for even integer p$p$ ⋮ On the \(\ell^p\)-norm of the discrete Hilbert transform ⋮ Discrete harmonic analysis associated with ultraspherical expansions ⋮ Electromagnetic Wave Propagation in Random Waveguides

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