Analytic multifunctions, the \({\bar\partial}\)-equation, and a proof of the Corona theorem
The purpose of this article is to give some application of a recent theorem by Alexander-Wermer and Slodkowski on the structure of certain polynomial hulls. The authors prove that this theorem gives a useful method of constructing analytic functions with prescribed properties in the disc. In particular it yields a rather easy proof of the Corona problem for two generators, and also implies Wolf's theorem on the \({\bar \partial}\)-equation.
scientific article; zbMATH DE number 3971180
scientific article