Interpolating sequences on uniform algebras

Pablo Galindo, Mikael Lindström, Alejandro Miralles*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

We consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on the unit ball of c0, then it is sufficient for any dual uniform algebra.

Original languageEnglish
Pages (from-to)111-118
Number of pages8
JournalTopology
Volume48
Issue number2-4
DOIs
Publication statusPublished - Jun 2009
MoE publication typeA1 Journal article-refereed

Keywords

  • Analytic function
  • Interpolating sequence
  • Pseudohyperbolic distance
  • Uniform algebra

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