Schoenflies problem for area preserving biLipschitz mappings
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918109445619712 |
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| author | Prasolov, Maxim |
| author_facet | Prasolov, Maxim |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Schoenflies problem for area preserving biLipschitz mappings Prasolov, Maxim Geometric Topology Functional Analysis 57K33 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. |
| title | Schoenflies problem for area preserving biLipschitz mappings |
| topic | Geometric Topology Functional Analysis 57K33 |
| url | https://arxiv.org/abs/2508.00184 |