Singular integral and maximal operators associated to hypersurfaces: \(L^p\) theory

DOI10.1007/BF02930982zbMath1088.42007OpenAlexW2043821017MaRDI QIDQ2574450

Andreas Seeger, James Wright, Stephen Wainger, Sarah Ziesler

Publication date: 21 November 2005

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

Full work available at URL: https://doi.org/10.1007/bf02930982

zbMATH Keywords

singular integralhypersurfacesmaximal functions

Mathematics Subject Classification ID

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

Related Items (2)

Multiparameter singular integrals and maximal operators along flat surfaces ⋮ $L^p$-boundedness for the Hilbert transform and maximal operator along a class of nonconvex curves

Cites Work

• Hilbert transforms for convex curves
• Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods
• Maximal and singular integral operators via Fourier transform estimates
• Singular integrals associated to hypersurfaces: \(L^2\) theory
• 𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²
• Problems in harmonic analysis related to curvature
• Classes of singular integrals along curves and surfaces
• The Hilbert Transform and Maximal Function Along Flat Curves, Dilations, and Differential Equations
• Singular Integrals and Maximal Functions Associated to Surfaces of Revolution
• Shorter Notes: A Note on Fourier Multipliers
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