A corona theorem for countably many functions on a class of infinitely connected domains
type: Item
instance of: scholarly article
title: A corona theorem for countably many functions on a class of infinitely connected domains
zbMATH Open document ID: 0687.30025
author: Jian Wang
published in: Chinese Annals of Mathematics. Series B
publication date: 1988-01-01T00:00:00Z
review text: Let D be a domain in the complex plane, and let \(H^{\infty}(D)\) be the algebra of bounded analytic functions on D. Let \({\mathcal M}(D)\) be the maximal ideal space of \(H^{\infty}(D)\), the domain can be identified with an open subset of \({\mathcal M}(D)\). The author shows that D is uniformly dense in \({\mathcal M}(D)\), that is, a corona theorem for countably many functions on some infinitely connected domain.
reviewed by: Takahiko Nakazi
Mathematics Subject Classification ID: 30D55
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 4125756
zbMATH Keywords: corona theorem
zbMATH Keywords: countably many functions
zbMATH Keywords: infinitely connected domain
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4125756