\(L^p\)-estimates for the rough singular integrals associated to surfaces

zbMath1286.42020MaRDI QIDQ2446418

Hong Hai Liu

Publication date: 16 April 2014

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1396966234

zbMATH Keywords

\(L^p\)-estimatesmaximal functionsrough singular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods
• Rough singular integrals supported on submanifolds
• Estimates for Wainger's singular integrals along curves
• \(L^ p\) bounds for Hilbert transforms along convex curves
• Maximal functions and Hilbert transforms associated to polynomials
• On singular intergrals along surfaces related to block spaces
• Singular integrals along submanifolds of finite type
• Rough singular integrals associated to surfaces of revolution
• $L^p$-boundedness for the Hilbert transform and maximal operator along a class of nonconvex curves
• Problems in harmonic analysis related to curvature
• The Hilbert Transform and Maximal Function Along Flat Curves, Dilations, and Differential Equations
• Singular integral operators with rough kernels supported by subvarieties
• Singular Integrals and Maximal Functions Associated to Surfaces of Revolution

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