60 citations · 168 across the 25 of their papers we have counts for
28 papers
Remarks on Gaussian-stability for Brascamp--Lieb Inequalities
Jonathan Bennett, Michael Christ
We establish a stable form of the general Euclidean Brascamp-Lieb inequality in all cases in which the Lebesgue exponents are strictly between 1 and 2, asserting that all near-extr…
Tangential approach in the Dirichlet problem for elliptic equations
Jonathan Bennett, Arnaud Dumont, Andrew J. Morris
It is well-known that solvability of the -Dirichlet problem for elliptic equations with real-valued, bounded and measurable coeffic…
Adjoint Brascamp-Lieb inequalities
Jonathan Bennett, Terence Tao
The Brascamp-Lieb inequalities are a generalization of the Hölder, Loomis-Whitney, Young, and Finner inequalities that have found many applications in harmonic analysis and elsewhe…
Higher order transversality in harmonic analysis
Jonathan Bennett, Neal Bez
In differential topology two smooth submanifolds and of euclidean space are said to be transverse if the tangent spaces at each common point together form a spanning se…
Fourier duality in the Brascamp-Lieb inequality
Jonathan Bennett, Eunhee Jeong
It was observed recently in work of Bez, Buschenhenke, Cowling, Flock and the first author, that the euclidean Brascamp-Lieb inequality satisfies a natural and useful Fourier duali…
Tomography bounds for the Fourier extension operator and applications
Jonathan Bennett, Shohei Nakamura
We explore the extent to which the Fourier transform of an density supported on the sphere in can have large mass on affine subspaces, placing particular empha…