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