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

Katsuhiko Matsuzaki

doi:10.1112/tlm3.12006

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

教育学部

研究成果: Article › 査読

5 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
巻	4
号	1
DOI	https://doi.org/10.1112/tlm3.12006
出版ステータス	Published - 2017 12月 1

ASJC Scopus subject areas

数学 (全般)

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10.1112/tlm3.12006

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

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