Energy integrals and metric embedding theory

Daniel Carando, Daniel Galicer, Damián Pinasco

For some centrally symmetric convex bodies $K\subset {\mathbb{R}}^n$, we study the energy integral $$\sup {\int }_K{\int }_K\Vert x-y{\Vert }_r^{p}d\mu (x)d\mu (y),$$ where the supremum runs…