Publication
Journal d'Analyse Mathématique
Paper

Grunsky inequalities and Fredholm spectrum in general domains

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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

01 Dec 1985

Publication

Journal d'Analyse Mathématique

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