23 citations · 49 across the 13 of their papers we have counts for
3 papers · 1 filter
On the nonlinear Brascamp-Lieb inequality
Jonathan Bennett, Neal Bez, Stefan Buschenhenke +2
We prove a nonlinear variant of the general Brascamp-Lieb inequality. Instances of this inequality are quite prevalent in analysis, and we illustrate this with substantial applicat…
A Fourier restriction theorem for a perturbed hyperbolic paraboloid
Stefan Buschenhenke, Detlef Müller, Ana Vargas
In contrast to elliptic surfaces, the Fourier restriction problem for hypersurfaces of non-vanishing Gaussian curvature which admit principal curvatures of opposite signs is still…
The nonlinear Brascamp-Lieb inequality for simple data
Jonathan Bennett, Neal Bez, Stefan Buschenhenke +1
We establish a nonlinear generalisation of the classical Brascamp-Lieb inequality in the case where the Lebesgue exponents lie in the interior of the finiteness polytope. As a coro…