Publication
Journal d'Analyse Mathématique
Paper

Grunsky inequalities and Fredholm spectrum in general domains

View publication

Abstract

We discuss the Fredholm spectrum for general domains and study its applications to conformal and quasi-conformal mappings. In particular, we establish an improvement of the Grunsky inequalities which is valid for general domains. This improvement constitutes an extension of a recent result of Schiffer concerning the sharpening of Grunsky inequalities for the unit disk by a factor smaller than 1, and which is the reciprocal of the least Fredholm eigenvalue of the smooth simply-connected image domain. © 1985 The Weizmann Science Press of Israel.

Date

Publication

Journal d'Analyse Mathématique

Authors

Share