Quasi-symmetric Conjugacy of Blaschke Products on the unit Circle

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Let B be a Blaschke product for which the restriction to the unit circle S1 is a degree d > 1 covering. We prove that B is quasi-symmetrically conjugate to z {rightarrowtail} zd on S1, if all its periodic points in S1 are repelling and if S1 does not intersect the {omega}-limit set of any recurrent critical point for B.
Translated title of the contributionQuasi-Symmetrisk konjugation af Blaschke produkter på enhedscirklen
Original languageEnglish
JournalBulletin of the London Mathematical Society
Issue number5
Pages (from-to)724-730
Number of pages7
Publication statusPublished - 2007


  • quasi-symmetric conjugacy
  • Blaschke product
  • recurrent critical points

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