Jännekaarikäyrien avaruus ja Teichmüllerin BMO/VMO-avaruus

Translated title of the contribution: Space of chord-arc curves and BMO/VMO Teichmüller space

Katsuhiko Matsuzaki*, Huaying Wei

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper focuses on the structure of the subspace Tc of the BMO Teichmüller space Tb corresponding to chord-arc curves, which contains the VMO Teichmüller space Tv. We prove that Tc is not a subgroup with respect to the group structure of Tb, but it is preserved under the inverse operation and the left and the right translations by any element of Tv. Moreover, we show that Tb has a fiber structure induced by Tv, and the complex structure of Tb can be projected down to the quotient space Tv\Tb. Then, we see that Tc consists of fibers of this projection, and its quotient space also has the induced complex structure.

Translated title of the contributionSpace of chord-arc curves and BMO/VMO Teichmüller space
Original languageUndefined/Unknown
Pages (from-to)27-42
Number of pages16
JournalAnnales Fennici Mathematici
Volume48
Issue number1
DOIs
Publication statusPublished - 2022

Keywords

  • Asymptotic teichmüller space
  • Bmo teichmüller space
  • Carleson measure
  • Chord-arc curve
  • Quotient bers embedding
  • Strongly quasisymmetric
  • Strongly symmetric
  • Vmo teichmüller space

ASJC Scopus subject areas

  • Mathematics(all)

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