Quasisymmetric Graphs and Zygmund Functions

نویسندگان

  • Leonid V. Kovalev
  • Jani Onninen
  • LEONID V. KOVALEV
  • JANI ONNINEN
چکیده

A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation and to a generalization of the Zygmund class Λ∗. This relation makes it possible to use the tools of harmonic analysis to construct nontrivial examples of quasisymmetric graphs and of quasiconformal maps.

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تاریخ انتشار 2015