Oscillatory integrals related to Radon-like transforms
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Publication:1378983
zbMath0971.42009MaRDI QIDQ1378983
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Publication date: 9 February 1998
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
maximal functionHilbert transformoscillatory integral operatorsFourier integral operatorsRadon-like transforms
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier integral operators applied to PDEs (35S30)
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Trilinear smoothing inequalities and a variant of the triangular Hilbert transform ⋮ 𝐿^{𝑝} improving bounds for averages along curves ⋮ Uniform bounds for oscillatory and polynomial Carleson operators ⋮ The polynomial Carleson operator ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Maximal polynomial modulations of singular Radon transforms ⋮ The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals ⋮ An \(L^p-L^q\) estimate for Radon transforms associated to polynomials ⋮ Uniform sparse bounds for discrete quadratic phase Hilbert transforms ⋮ Maximal polynomial modulations of singular integrals ⋮ A bilinear oscillatory integral along parabolas ⋮ A survey on oscillatory integral operators
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