A Result About the Hilbert Transform Along Curves

DOI10.2307/2047736zbMath0735.43004OpenAlexW4252622403MaRDI QIDQ3970253

Linda Saal

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2047736

zbMATH Keywords

boundednessHilbert transformanalytic curvetransference theoremsimply connected nilpotent Lie group

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other transforms and operators of Fourier type (43A32) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Unnamed Item
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Hilbert transforms along curves. II: A flat case
• Singular and maximal Radon transforms: Analysis and geometry
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Problems in harmonic analysis related to curvature

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