Sharp L1 Inequalities for Sup-Convolution

Peter van Hintum, Hunter Spink, Marius Tiba

Given a compact convex domain $C\subset {\mathbb{R}}^k$ and bounded measurable functions $f_1,\dots ,f_n:C\to \mathbb{R}$, define the sup-convolution $(f_1\ast \dots \ast f_n)(z)$ t…