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

Pamela Gorkin, Sandra Pott, Brett D. Wick

Research output: Contribution to journalArticlepeer-review

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 <= p <= infinity, providing several new ways to think about these sequences.
Original languageEnglish
Pages (from-to)841-864
JournalRevista Matemática Iberoamericana
Volume31
Issue number3
DOIs
Publication statusPublished - 2015

Subject classification (UKÄ)

  • Mathematical Analysis

Free keywords

  • interpolation
  • asymptotic orthonormal
  • sequence
  • thin sequences
  • Hardy space

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