Transversal multilinear Radon-like transforms: local and global estimates
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Publication:373497
DOI10.4171/RMI/739zbMath1297.44003MaRDI QIDQ373497
Susana Gutiérrez, Neal Bez, Jonathan M. Bennett
Publication date: 17 October 2013
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
transversalitydiffraction tomographymultilinear convolution estimatemultilinear Radon-like transform
Related Items (6)
Global nonlinear Brascamp-Lieb inequalities ⋮ Norm estimates for \(k\)-plane transforms and geometric inequalities ⋮ \(L^p\) estimates for bilinear generalized Radon transforms in the plane ⋮ On the nonlinear Brascamp-Lieb inequality ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension ⋮ Kakeya-Brascamp-Lieb inequalities
Cites Work
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- Convolutions of singular measures and applications to the Zakharov system
- \(L^p\) improving multilinear Radon-like transforms
- Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis
- On the multilinear restriction and Kakeya conjectures
- A convolution estimate for two-dimensional hypersurfaces
- Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\)
- The Brascamp-Lieb inequalities: Finiteness, structure and extremals
- A nonlinear generalisation of the Loomis-Whitney inequality and applications
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- On the 2D Zakharov system withL2Schrödinger data
- A bilinear approach to the restriction and Kakeya conjectures
- Partial Recovery of a Potential from Backscattering Data
- 𝐿^{𝑝} improving bounds for averages along curves
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