The mapping properties for a class of oscillatory integrals

DOI10.1216/RMJM/1181069908zbMath1066.42012OpenAlexW2049904431MaRDI QIDQ1880985

Gary Sampson

Publication date: 27 September 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069908

zbMATH Keywords

\(L^p\) boundednesssingular integralsoscillatory integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

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• Hardy spaces and oscillatory singular integrals
• Hilbert integrals, singular integrals, and Radon transforms. I
• Weak (1,1) bounds for oscillatory singular integrals
• Oscillating kernels that map \(H^ 1\) into \(L^ 1\).
• Uniform estimates for oscillatory integral operators
• Oscillatory integrals with polynomial phases
• The complete \((L^p,L^p)\) mapping properties for a class of oscillatory integrals
• Weighted Weak (1, 1) and Weighted L p Estimates for Oscillating Kernels
• $L^2$ Estimates for Oscillatory Integrals

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