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A Class of Infinitely Connected Domains and the Corona
Let D be a bounded domain in the complex plane. Let ${H^\infty }(D)$ be the Banach algebra of bounded analytic functions on D. The corona problem asks whether D is $\text {weak}^\ast$ dense in the space $\mathfrak {M}(D)$ of maximal ideals of ${H^\infty }(D)$. Carleson [3] proved that the open …