Thin Sequences and Their Role in $H^p$ Theory, Model Spaces, and Uniform Algebras

Pamela Gorkin; Sandra Pott; Brett D. Wick

Thin Sequences and Their Role in $H^p$ Theory, Model Spaces, and Uniform Algebras

Complex Variables 2016-02-08 v1 Functional Analysis

Authors: Pamela Gorkin , Sandra Pott , Brett D. Wick

Abstract

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 $1 \leq p \leq \infty$ , providing several new ways to think about these sequences.

Keywords

thin interpolating sequences unit disc uniform algebras model spaces $H^p$ spaces asymptotic interpolation

Cite

@article{arxiv.1312.5759,
  title  = {Thin Sequences and Their Role in $H^p$ Theory, Model Spaces, and Uniform Algebras},
  author = {Pamela Gorkin and Sandra Pott and Brett D. Wick},
  journal= {arXiv preprint arXiv:1312.5759},
  year   = {2016}
}

Comments

v1: 21 pages; To appear in Rev. Mat. Iberoam

Thin Sequences and Their Role in $H^p$ Theory, Model Spaces, and Uniform Algebras

Abstract

Keywords

Cite

Comments

Related papers