Maximal decay inequalities for trilinear oscillatory integrals of convolution type
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Publication:329639
DOI10.1016/j.jfa.2016.09.003zbMath1350.42025arXiv1511.05233OpenAlexW2963052533MaRDI QIDQ329639
Lechao Xiao, Philip T. Gressman
Publication date: 21 October 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.05233
Related Items (11)
\(L^2\) Estimates of trilinear oscillatory integrals of convolution type on \(\mathbb{R}^2\) ⋮ Anti-concentration of polynomials: dimension-free covariance bounds and decay of Fourier coefficients ⋮ Analysis and applications: The mathematical work of Elias Stein ⋮ A polynomial Roth theorem on the real line ⋮ Sharp Bounds for Oscillatory Integral Operators with Homogeneous Polynomial Phases ⋮ Endpoint estimates for one-dimensional oscillatory integral operators ⋮ Multilinear oscillatory integral operators and geometric stability ⋮ Decay rate of multilinear oscillatory integral operators in $\mathbb {R}^2$ ⋮ Damping estimates for oscillatory integral operators with real-analytic phases and its applications ⋮ Oscillatory Loomis-Whitney and projections of sublevel sets ⋮ Special cases of power decay in multilinear oscillatory integrals
Cites Work
- Bilinear Hilbert transforms along curves, I: The monomial case
- On trilinear oscillatory integrals
- On multilinear oscillatory integrals, nonsingular and singular
- The Newton polyhedron and oscillatory integral operators
- What is van der Corput's lemma in higher dimensions?
- A direct resolution of singularities for functions of two variables with applications to analysis
- Uniform geometric estimates of sublevel sets
- Simply nondegenerate multilinear oscillatory integral operators with smooth phase
- Oscillatory integrals and multipliers on FL\(^p\)
- Multidimensional van der Corput and sublevel set estimates
- Sharp \(L^2\) bounds for oscillatory integral operators with \(C^\infty\) phases
- Multilinear level set operators, oscillatory integral operators, and Newton polyhedra
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