Free boundary problems in the spirit of Sakai’s theorem

A Schwarz function on an open domain $\Omega $ is a holomorphic function satisfying $S(\zeta )=\bar{\zeta }$ on $\Gamma $, which is part of the boundary of $\Omega $. Sakai in 1991 gave a complete characterization of the boundary of a domain admitting a Schwarz function. In fact, if $\Omega $ is sim...

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Bibliographic Details
Main Authors: Vardakis, Dimitris, Volberg, Alexander
Format: Article
Language:English
Published: Académie des sciences 2022-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.259/