Finite reflection groups and graph norms

David Conlon, Joonkyung Lee

Given a graph $H$ on vertex set $\{1,2,\cdots ,n\}$ and a function $f:[0,1{]}^2\to \mathbb{R}$, define \begin{align*} \|f\|_{H}:=\left\vert\int \prod_{ij\in E(H)}f(x_i,x_j)d…