Singular Radon transforms and maximal functions under convexity assumptions

DOI10.4171/RMI/377zbMath1071.42012arXivmath/0205109OpenAlexW2003824052MaRDI QIDQ1884111

Andreas Seeger, Stephen Wainger

Publication date: 25 October 2004

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205109

zbMATH Keywords

Hilbert transforms along curvessingular Radon transforms\(L^ p\)-boundednessangular Littlewood-Paley decomposition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (7)

Bounds for singular fractional integrals and related Fourier integral operators ⋮ \(L^p\) bounds of maximal operators along variable planar curves in the Lipschitz regularity ⋮ Real analytic multi-parameter singular Radon transforms: Necessity of the Stein-Street condition ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Hilbert transforms along variable planar curves: Lipschitz regularity ⋮ Oscillatory hyper Hilbert transforms along variable curves ⋮ Singular Radon transforms along odd curves on the Heisenberg group

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