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arXiv · 2306.03958

Extension of planar H\"older homeomorphisms

Stanislav Hencl·Aleksis Koski
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Abstract

Let $\alpha$ \in (0; 1). We show that any $\alpha$-H\"older homeomorphism from the unit circle in the plane to the plane can be extended to an $\alpha$-H\"{o}lder homeomorphism from the whole unit disc.

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Stanislav Hencl, Aleksis Koski. 2023-06-06. Extension of planar H\"older homeomorphisms. https://arxiv.org/abs/2306.03958

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