A CORONA THEOREM FOR COUNTABLY MANY FUNCTIONS ON A CLASS OF INFINITELY CONNE CTED DOMAINS
Citation：
Wang Jian.A CORONA THEOREM FOR COUNTABLY MANY FUNCTIONS ON A CLASS OF INFINITELY CONNE CTED DOMAINS[J].Chinese Annals of Mathematics B,1988,9(4):494~499
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Authors：
Wang Jian;
Abstract：
Let $D$ be a domain in the complex plane, and $\[{H^\infty }(D)\]$ be the Banach algebra of bounded analytic functions on D. Rosenblum proved a corona theorem for countably many
functions on the open unit disk, Rudol extended the result to the finitely connected domains.In this paper the author uses Behrens idea to extend the result to a class of infinitely connected domains.
