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

Author

Summary, in English

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.

Publishing year

2015

Language

English

Pages

841-864

Publication/Series

Revista Matemática Iberoamericana

Volume

31

Issue

3

Document type

Journal article

Publisher

EMS Publishing House

Topic

  • Mathematical Analysis

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 2235-0616