H1 boundedness of oscillatory singular integrals with degenerate phase functions

DOI10.1017/S0305004100072637zbMath0806.42009OpenAlexW1986579660MaRDI QIDQ4314726

Pan, Yibiao

Publication date: 27 November 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100072637

zbMATH Keywords

Hardy spaceuniform boundednessoscillatory singular integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30)

Related Items (1)

Oscillatory singular integrals on 𝐿^{𝑝} and Hardy spaces

Cites Work

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• Hilbert transforms for convex curves
• Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods
• Hardy spaces and oscillatory singular integrals
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Weak (1,1) bounds for oscillatory singular integrals
• Uniform estimates for oscillatory integral operators
• Boundedness of oscillatory singular integrals on Hardy spaces
• 𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²
• Beijing Lectures in Harmonic Analysis. (AM-112)
• Hilbert Transforms Associated With Plane Curves

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