The boundedness of the bilinear oscillatory integral along a parabola

DOI10.1017/S0013091523000032zbMath1522.42053MaRDI QIDQ6156357

Guo-liang Li, Junfeng Li

Publication date: 13 June 2023

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

zbMATH Keywords

bilinear operatordecay estimateoscillatory integralstationary method\(TT^\ast\) method

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Harmonic analysis and PDEs (42B37)

Cites Work

• Unnamed Item
• Unnamed Item
• Bilinear Hilbert transforms along curves, I: The monomial case
• A bilinear oscillatory integral along parabolas
• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• On Calderón's conjecture
• On a stopping process for oscillatory integrals
• On convergence and growth of partial sums of Fourier series
• Oscillatory integrals and multipliers on FL\(^p\)
• \(H^p\) spaces of several variables
• Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves
• Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• Special trigonometric series in 𝑘-dimensions
• Pointwise convergence of Fourier series
• On multiplier transformations

This page was built for publication: The boundedness of the bilinear oscillatory integral along a parabola