Interpolating sequences on plane domains (Q2639996)

The author proves two results on interpolating sequences for \(H^{\infty}(D)\), where D is an open set in \({\mathbb{C}}\). The first states that an interpolating sequence can be characterized in terms of its local behaviour. Second gives a characterization of interpolating sequences if D is a domain satisfying certain geometric conditions. The proofs are using concepts from the Banach algebras theory.