Conformal welding and Koebe's theorem
Conformal welding and Koebe's theorem
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DOI：
10.4007/annals.2007.166.613
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发表时间：
2007-11
影响因子：
4.9
通讯作者：
C. Bishop
中科院分区：
文献类型：
--
作者：
C. Bishop
It is well known that not every orientation-preserving homeomorphism of the circle to itself is a conformal welding, but in this paper we prove several results which state that every homeomorphism is "almost" a welding in a precise way. The proofs are based on Koebe's circle domain theorem. We also give a new proof of the well known fact that quasisymmetric maps are conformal weldings.
