Abstract:
In the talk we will give a brief survey of new distortion theorems
for holomorphic functions, in which critical values of functions
under consideration and the character of the respective covering of
a given sets are taken into account. All results are obtained using
one general method based on the concept of a circular symmetrization
of condensers on Riemann surfaces. One theorem about change of a
condenser capacity under symmetrization will be formulated and some
its applications to multivalent functions of certain classes will be
considered.
