On multilinear determinant functionals
From MaRDI portal
Publication:5200173
DOI10.1090/S0002-9939-2010-10656-1zbMath1231.28006arXiv0911.1283MaRDI QIDQ5200173
Publication date: 1 August 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.1283
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral operators (47G10) Length, area, volume, other geometric measure theory (28A75)
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Cites Work
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- A multilinear generalisation of the Hilbert transform and fractional integration
- Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis
- Gaussian kernels have only Gaussian maximizers
- Heat-flow monotonicity of Strichartz norms
- Estimates for the \(X\)-ray transform restricted to 2-manifolds
- Maximal averages over surfaces
- Inequalities for strongly singular convolution operators
- Sharp \(L^p\)-\(L^q\) estimates for generalized \(k\)-plane transforms
- RESTRICTION OF FOURIER TRANSFORMS TO CURVES II: SOME CLASSES WITH VANISHING TORSION
- On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
- Fourier restriction theorems for curves with affine and Euclidean arclengths
- Fourier restriction theorems for degenerate curves
- Estimates for a multilinear form on the sphere
- Averages Over Convex Hypersurfaces
- Convolution with measures on hypersurfaces
- On Fourier coefficients and transforms of functions of two variables
- 𝐿^{𝑝} improving bounds for averages along curves
- Oscillatory integrals and multiplier problem for the disc
- Heat-flow monotonicity related to the Hausdorff-Young inequality
- Multilinear level set operators, oscillatory integral operators, and Newton polyhedra
