JournalsrmiVol. 31, No. 3pp. 841–864

Thin sequences and their role in HpH^p 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
Thin sequences and their role in $H^p$ theory, model spaces, and uniform algebras cover
Download PDF

Abstract

In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and HpH^p spaces. We extend the notion of asymptotic interpolation to HpH^p spaces, for 1p1 ≤ p ≤ \infty, 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 HpH^p theory, model spaces, and uniform algebras. Rev. Mat. Iberoam. 31 (2015), no. 3, pp. 841–864

DOI 10.4171/RMI/856