Singular Radon transforms along odd curves on the Heisenberg group

DOI10.1007/BF02922249zbMath1087.42010MaRDI QIDQ816227

Joonil Kim

Publication date: 21 February 2006

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: http://www.mathjournals.org/jgan/2005-015-004/2005-015-004-006.html

zbMATH Keywords

maximal functionHeisenberg groupHilbert transformgroup Fourier transformsingular Radon transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85) Analysis on other specific Lie groups (43A80)

Cites Work

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• \(L^p\)-estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group
• Singular Radon transforms and maximal functions under convexity assumptions
• A variant of the notion of a space of homogeneous type
• \(L^ 2\)-estimates for a class of singular oscillatory integrals
• Singular and maximal Radon transforms: Analysis and geometry
• Hilbert transforms and maximal functions along variable flat curves
• 𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²
• Hilbert Transforms Along Curves in the Heisenberg Group
• Hilbert Transforms and Maximal Functions Associated to Flat Curves on the Heisenberg Group

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