The equivalence of two definitions of capacity
The equivalence of two definitions of capacity
It is shown that two definitions for an L" capacity (1 <p<co) on subsets of Euclidean R" are equivalent in the sense that as set functions their ratio is bounded above and below by positive finite constants.The classical notions of capacity correspond to the case/>=2.1.Let Lx,P=gx(Lv), l<p<oo, a>0, where gx …