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arXiv · 2508.00184

Schoenflies problem for area-preserving biLipschitz mappings

Maxim Prasolov
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Abstract

We prove that any biLipschitz mapping of the boundary of the unit disk onto the boundary of the domain of the same area can be extended to a biLipschitz mapping of the whole plane which preserves the area of any measurable subset.

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Maxim Prasolov. 2026-09-23. Schoenflies problem for area-preserving biLipschitz mappings. https://arxiv.org/abs/2508.00184

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