Regular simplex conjecture for Riesz capacity ratios
Let n≥3n\geq 3n≥3, let p<q≤−2p<q\leq -2p<q≤−2, and let K⊂RnK\subset\mathbb R^nK⊂Rn be compact with more than one point. The quantities Capp(K)\operatorname{Cap}_p(K)Capp(K) and Capq(K)\operatorname{Cap}_q(K)Capq(K) are the c…