On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions

Viktor I. Buslaev, Sergey P. Suetin

For an interval $E=[a,b]$ on the real line, let $\mu$ be either the equilibrium measure, or the normalized Lebesgue measure of $E$, and let $V^{\mu }$ denote the associated logarithmic po…