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arXiv · 1907.07409

On Locally Quasiconformal Teichmuller Spaces

Alastair Fletcher·Zhou Zemin
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Abstract

We define a universal Teichmüller space for locally quasiconformal mappings whose dilatation grows not faster than a certain rate. Paralleling the classical Teichmüller theory, we prove results of existence and uniqueness for extremal mappings in the generalized Teichmüller class. Further, we analyze the circle maps that arise.

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Alastair Fletcher, Zhou Zemin. 2019-07-18. On Locally Quasiconformal Teichmuller Spaces. https://arxiv.org/abs/1907.07409

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