Title

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

Publication Date

2015

Journal

Revista Matemática Iberoamericana

Volume

31

Issue

3

First Page

841

Last Page

864

Abstract

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.

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