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

• Pamela Gorkin ^[1] ; Sandra Pott ^[2] ; Brett D. Wick ^[3]
  1. [1] Bucknell University

     Bucknell University

     Borough of Lewisburg, Estados Unidos

     
  2. [2] Lund University

     Lund University

     Suecia

     
  3. [3] Georgia Institute of Technology

     Georgia Institute of Technology

     Estados Unidos

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 3, 2015, págs. 841-864
• Idioma: inglés
• DOI: 10.4171/RMI/856
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and Hp spaces. We extend the notion of asymptotic interpolation to Hp spaces, for 1≤p≤∞, providing several new ways to think about these sequences.