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On the \(L^p\) norms of the Hilbert transform of a characteristic function

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Publication:425732
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DOI10.1016/j.jfa.2012.03.003zbMath1244.42009OpenAlexW1994552151MaRDI QIDQ425732

Enrico Laeng

Publication date: 8 June 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.03.003


zbMATH Keywords

Hilbert transform


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15)


Related Items

On the action of Riesz transforms on the class of bounded functions ⋮ Non-extendability of the finite Hilbert transform ⋮ Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space ⋮ Commutators of Hilbert transforms along monomial curves ⋮ Inversion and extension of the finite Hilbert transform on \((-1,1)\)



Cites Work

  • A simple real-variable proof that the Hilbert transform is an \(L^{2}\)-isometry
  • Variations on a theme of Boole and Stein-Weiss
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