Thin sequences and their role in theory, model spaces, and uniform algebras

  • Pamela Gorkin

    Bucknell University, Lewisburg, USA
  • Sandra Pott

    Lund University, Sweden
  • Brett D. Wick

    Georgia Institute of Technology, Atlanta, USA

Abstract

In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and spaces. We extend the notion of asymptotic interpolation to spaces, for , providing several new ways to think about these sequences.

Cite this article

Pamela Gorkin, Sandra Pott, Brett D. Wick, Thin sequences and their role in theory, model spaces, and uniform algebras. Rev. Mat. Iberoam. 31 (2015), no. 3, pp. 841–864

DOI 10.4171/RMI/856