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arxiv: 0807.4418 · v2 · submitted 2008-07-28 · 🧮 math.CV

On quasiconformal maps with identity boundary values

classification 🧮 math.CV
keywords boundaryidentityquasiconformalvaluesanalogueballhomeomorphismsitself
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Quasiconformal homeomorphisms of the unit ball $B^n$ of ${\mathbb R}^n, n \ge 3,$ onto itself with identity boundary values are studied. A spatial analogue of Teichm\"uller's theorem is proved.

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