  Capacities of generalized condensers are applied to prove a two-point
distortion theorem for conformal mappings. The result is expressed in terms of
the Robin function and the Robin capacity with respect to the domain of
definition of the mapping and subsets of the boundary of this domain. The
behavior of Robin function under multivalent functions is studied. Some
corollaries and examples of applications to distortion theorems for regular
functions are given.
