On the dual of Choquet integrals spaces associated with capacities

We introduce a function space which consists of Choquet integrals associated with Bessel and Riesz capacities. It will be shown that the dual of that space is isomorphic to a class of measures with finite Choquet integrals of Wolff potential types. The proof uses techniques in nonlinear potential theory such as capacitary weak type estimates and trace inequalities.