Abstract:
On a Riemann surface (in the wide sense of the word in the terminology of Hurwitz–Courant) the weighted capacity and module (with a weight of Muokenhoupt) of a condenser with a finite number plates are defined. The equality of the capacity and module of a condenser is proved. This has solved one Dubinin's problem.
Key words and phrases:capacity of the condenser, module of curve family, Riemann surface, condenser with a finite number plates.