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math.CA2018★ 23 cited
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…
math.CA2018★ 1 cited
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…