2 problems

Let $K\subset\mathbb{R}^2$ be a convex body with a center of symmetry and containing the origin, and let $p>1$. Planar symmetric-body equality conjecture. Equality in the relevant…

Let $p\geq1$ and let $Z\subset\mathbb{R}^n$ be an asymmetric $L_p$-zonoid. Let $q$ satisfy $1/p+1/q=1$. Asymmetric $L_p$-zonoid Rogers--Shephard conjecture. One has … Moreover, if…