2 problems

Let $N>k\geq 2$, $m\in\mathbb{N}$, and $p=\frac{N}{k}$. Let $R_{k,\gamma}$ denote the optimal constant in the critical Rellich inequality and let $R^{\rm rad}_{k,\gamma}$ denote it…

Let $44$ be a Borel probability measure on $44$ invariant under permutation of coordinates, with finite second moment and zero mean. Let $d_2$ be the GTW metric, let $R_4$ be its a…