Stekloffsche Eigenwerte und konforme Abbildungen

Abstract

New isoperimetric inequalities between Stekloff eigenvalues and function theoretic quantities in simply and multiply connected domains are derived. They sharpen on the one hand well-known isoperimetric inequalities in some cases and given on the other hand both-sided estimates for function theoretic quantities. In the simply connected case both-sided estimates for Stekloff eigenvalues are given based on a general monotonicity principle.