The sharp L1L^1L1 inequality for sup-convolution
Let C⊂RkC\subset\mathbb{R}^kC⊂Rk be a compact convex domain and let f:C→Rf:C\to\mathbb{R}f:C→R be bounded and measurable. Write f∗nf^{\ast n}f∗n for the nnn-fold sup-convolution of fff, let…