Thin Sequences and Their Role in H-P Theory, Model Spaces, and Uniform Algebras
Revista Matematica Iberoamericana
In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and H-p spaces. We extend the notion of asymptotic interpolation to H-p spaces, for 1 <= p <= infinity, providing several new ways to think about these sequences.
Gorkin, Pamela; Pott, Sandra; and Wick, Brett D.. "Thin Sequences and Their Role in H-P Theory, Model Spaces, and Uniform Algebras." Revista Matematica Iberoamericana 31, no. 3 (2015) : 841-864.