On the dual of Choquet integrals spaces associated with capacities
Volume 274 / 2024
Studia Mathematica 274 (2024), 249-268
MSC: Primary 31C15; Secondary 42B25
DOI: 10.4064/sm230124-11-10
Published online: 29 January 2024
Abstract
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.
