Proper holomorphic maps from weakly pseudoconvex domains
Let D be a bounded pseudoconvex domain in \({\mathbb{C}}^ 2\) with real- analytic boundary. The authors prove the existence of a proper holomorphic mapping from D into the unit polydisc in \({\mathbb{C}}^ 3\). They also prove that there exists a uniformly continuous proper holomorphic mapping from D into the unit ball in \({\mathbb{C}}^ 3\). The techniques employed in the construction are related to those used in proofs of existence of inner functions.
scientific article; zbMATH DE number 4179769
scientific article