Bounded turning circles are weak-quasicircles

Meyer, Daniel

doi:10.1090/S0002-9939-2010-10634-2

Bounded turning circles are weak-quasicircles
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by Daniel Meyer PDF

Proc. Amer. Math. Soc. 139 (2011), 1751-1761 Request permission

Abstract:

We show that a metric Jordan curve $\Gamma$ is bounded turning if and only if there exists a weak-quasisymmetric homeomorphism $\varphi \colon \mathsf {S}^1 \to \Gamma$.

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