L\({}^ 2\) boundedness of oscillatory integral operators

DOI10.1215/S0012-7094-91-06207-1zbMath0732.47045OpenAlexW1991499978MaRDI QIDQ808412

Pan, Yibiao

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06207-1

zbMATH Keywords

Fourier transformsingular integral operatorkernel functioncancellation condition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (3)

L² estimates for convolution operators with oscillating kernels ⋮ Uniform estimates for oscillatory integral operators ⋮ Weak (1,1) boundedness of oscillatory singular integral with variable phase

Cites Work

• Unnamed Item
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Hilbert integrals, singular integrals, and Radon transforms. I
• Hilbert integrals, singular integrals, and Radon transforms. II

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