2 problems

Let $K_1$ and $K_2$ be compact subsets of the plane, and let $\alpha$ denote continuous analytic capacity. Vitushkin's quasiadditivity conjecture. There exists a constant $C$ such…

Younsi–Ransford conjecture. For all $z_1,\dots,z_n,w_1,\dots,w_m$, the function $R(r)$ is decreasing on $0<r<\delta/2$.