2 problems

PTW's optimality conjecture. The constant $e$ in this embedding is optimal: it cannot be replaced by any smaller universal constant.

Let $T$ be a rooted dyadic tree and let $T^2$ denote its bi-tree. Let $\mathbb I$ be summation up the graph. For functions $f,g:T^2\to\mathbb R_+$, assume that $f$ is superadditive…