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A Nonlinear Variant of Ball's Inequality (2101.07672v5)

Published 19 Jan 2021 in math.CA and math.AP

Abstract: We adapt an induction-on-scales argument of Bennett, Bez, Buschenhenke, Cowling, and Flock to establish a global near-monotonicity statement for the nonlinear Brascamp-Lieb functional under a certain heat-flow, from which follows a stability result for the finiteness of global nonlinear Brascamp-Lieb inequalities.

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