BIRS Workshop Lecture Videos
On the Sundberg approximation theorem Brudnyi, Alex
Let $H^\infty$ be the Banach algebra of bounded holomorphic functions on the open unit disk $D\subset \mathbb C$. We extend Sundberg’s theorem on uniform approximation of functions in BMOA by $H^\infty$ functions to other classes of holomorphic functions on $D$. In our proofs we use a new characterization of meromorphic functions on $D$ that extend to continuous maps of the maximal ideal space of $H^\infty$ to the Riemann sphere.
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