The Hilbert transform along the extended evil ladder curve

DOI10.1007/BF03182884zbMath1005.44002OpenAlexW2000122409MaRDI QIDQ701585

Baoyi Wu, Wei Yi Su

Publication date: 2 March 2003

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03182884

zbMATH Keywords

Fourier transformHilbert transformevil ladder curvetri-adic Cantor function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

• Hilbert transforms for convex curves
• Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods
• \(L^ p\)-estimates for operators associated to flat curves without the Fourier transform
• Problems in harmonic analysis related to curvature

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