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We survey several methods for extending quasisymmetric homeomorphisms of the real line to bi-Lipschitz diffeomorphisms of the upper half-plane with respect to the hyperbolic metric.

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Bi-Lipschitz Quasiconformal Extensions

  • 会议论文

  • 发表日期：

    2025年

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  • Katsuhiko Matsuzaki

摘要

We survey several methods for extending quasisymmetric homeomorphisms of the real line to bi-Lipschitz diffeomorphisms of the upper half-plane with respect to the hyperbolic metric.