Ein funktionalanalytischer Beweis des Approximationssatzes von Walsh.
Ein verallgemeinerter transfiniter Durchmesser im Zusammenhang mit einer quasikonformen Normalabbildung
Equality cases for condenser capacity inequalities under symmetrization
It is well known that certain transformations decrease the capacity of a condenser. We prove equality statements for the condenser capacity inequalities under symmetrization and polarization without connectivity restrictions on the condenser and without regularity assumptions on the boundary of the condenser.
Extremal Length and Univalent Functions, I. The Angular Derivative.
Extremal metrics and modulus
We give a new proof of Beurling’s result related to the equality of the extremal length and the Dirichlet integral of solution of a mixed Dirichlet-Neuman problem. Our approach is influenced by Gehring’s work in space. Also, some generalizations of Gehring’s result are presented.
Extremal plurisubharmonic functions in