Geometric conditions for interpolation

Abstract

Let { z n } \left \{ {{z_n}} \right \} be a sequence lying in either the upper half-plane or the unit disc in the complex plane. If { z n } \left \{ {{z_n}} \right \} is a separated sequence we give a simple geometric condition that implies the sequence is an interpolating sequence for the algebra of bounded holomorphic functions. This result contains most of the known results of this type.