A corona theorem for countably many functions on a class of infinitely connected domains (Q1262971)

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.