Variations on a theme of Boole and Stein-Weiss

DOI10.1016/j.jmaa.2009.08.017zbMath1182.42016OpenAlexW2083380241MaRDI QIDQ1043920

Leonardo Colzani, Lucas Monzón, Enrico Laeng

Publication date: 10 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.017

zbMATH Keywords

Hilbert transformdistribution function\(L^p\) norm

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (3)

On the \(L^p\) norms of the Hilbert transform of a characteristic function ⋮ A simple real-variable proof that the Hilbert transform is an \(L^{2}\)-isometry ⋮ On the action of Riesz transforms on the class of bounded functions

Cites Work

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• A Remarkable Property of Definite Integrals
• Some Useful Properties of the Hilbert Transform
• Singular integrals
• A note on the Hilbert transform

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