Extremalprinzipien zur Charakterisierung von quasikonformen Normalabbildungen und ihre Anwendung zur Abschätzung von Gebietsfunktionalen

Abstract

For a certain class of quasiconformal canonical mappings of a multiple-connected domain the extremal principle is derived with the help of the energy-principle of the modern potential theory, and several distorsion theorems and estimations of domain functionals are proved.