2 problems

For $p>2$, let $n$ range over arbitrarily large positive integers, and let $c_{(\mathscr{P}_{p}(\mathbb{R}^3),\mathsf{W}_p)}(Y,d_Y^\alpha)$ denote the least distortion of an embedd…

Let $p\in(2,\infty)$, let $(X,d_X)$ be a finite metric space, and let $c_{(\mathscr{P}_{p}(\mathbb{R}^3),\mathsf{W}_p)}(X,d_X^\alpha)$ denote the least distortion of an embedding o…