Let B be a meromorphic Blaschke product in the upper half-plane with zeros Zn and let KB - H2 ⊖ BH2 be the associated model subspace of the Hardy space H2. A nonnegative function w on the real line is said to be an admissible majorant for K B if there is a non-zero function f ∈ KB such that |f| ≤ w a.e. on ℝ. We study the relations between the distribution of the zeros of a Blaschke product B and the class of admissible majorants for the space KB.

Original languageEnglish
Pages (from-to)1595-1628
Number of pages34
JournalIndiana University Mathematics Journal
Volume56
Issue number4
DOIs
StatePublished - 30 Oct 2007

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Admissible majorant, Blaschke product, Entire function, Hardy space, Hilbert transform, Meromorphic function, Model subspace

ID: 32722185