Thin Sequences and Their Role in Hp Theory, Model Spaces, and Uniform Algebras

Authors

Pamela Gorkin, Bucknell UniversityFollow
Brett Wick, Washington University in Saint LouisFollow
Sandra Pott, Lund UniversityFollow

Publication Date

2015

Description

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.

Journal

Revista Matemática Iberoamericana

Volume

31

Issue

3

First Page

841

Last Page

864

Department

Mathematics

Recommended Citation

Gorkin, Pamela; Wick, Brett; and Pott, Sandra. "Thin Sequences and Their Role in Hp Theory, Model Spaces, and Uniform Algebras." Revista Matematica Iberoamericana (2015) : 841-864.