Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative

Katsuhiko Matsuzaki*

*この研究の対応する著者

研究成果: Article査読

4 被引用数 (Scopus)

抄録

The barycentric extension due to Douady and Earle yields a conformally natural extension of a quasisymmetric self-homeomorphism of the unit circle to a quasiconformal self-homeomorphism of the unit disk. We consider such extensions for circle diffeomorphisms with Hölder continuous derivative and show that this operation is continuous with respect to an appropriate topology for the space of the corresponding Beltrami coefficients.

本文言語English
ページ(範囲)129-147
ページ数19
ジャーナルTransactions of the London Mathematical Society
4
1
DOI
出版ステータスPublished - 2017 12月 1

ASJC Scopus subject areas

  • 数学 (全般)

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