Radius gives no positive lower bound for disconnected harmonic hull capacity
= Radius gives no positive lower bound for disconnected harmonic hull capacity
For $c=\sqrt{1-\varepsilon^2}$, three vertical slits of height $\varepsilon$ rooted at $-c,0,c$ form a <compact H-hull> of enclosing radius one. <Subadditivity of harmonic hull capacity> gives capacity at most $6\varepsilon$, which can tend to zero. Thus a uniform lower bound requires additional geometric hypotheses.