Let be a balayage space, a Choquet capacity on , the essential base of and, for a compact set . Then some properties of the set function are investigated. In particular, it is shown when is the Choquet capacity. Further, some relation a to the so-called continuous capacity deduced from a kernel on is given. At last, some open problems from the book  by G. Anger are solved.
Cite this article
M. Brzezina, On Continuous Capacities. Z. Anal. Anwend. 14 (1995), no. 2, pp. 213–224DOI 10.4171/ZAA/671