Abstract:
Relations between the generalized capacity of a condenser in sense of Aikawa–Ohtsuka and the module of a family of compound curves connecting the condenser plates through a given set are established. Conditions of the removability of compact for the generalized capacity of a condenser are obtained.
Properties of the extremal length of vector measures are used.
Key words and phrases:generalized capacities, spherical symmetrization, removable sets.