, Volume 23, Issue 4, pp 1806-1817

Global Nonlinear Brascamp–Lieb Inequalities

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Abstract

We prove global versions of certain known nonlinear Brascamp–Lieb inequalities under a natural homogeneity assumption. We also establish a conditional theorem allowing one to generally pass from local to global nonlinear Brascamp–Lieb estimates under such a homogeneity assumption.

Communicated by Steven G. Krantz.