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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.14486 |
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| _version_ | 1866914268584083456 |
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| author | Zhu, Yizhe |
| author_facet | Zhu, Yizhe |
| contents | We provide a complete characterization of those self-homeomorphisms of the unit circle that admit homeomorphic extensions to the unit disk belonging to bi--Orlicz--Sobolev spaces. Our results generalize classical criteria from the Sobolev setting to the more flexible Orlicz framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14486 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces Zhu, Yizhe Complex Variables We provide a complete characterization of those self-homeomorphisms of the unit circle that admit homeomorphic extensions to the unit disk belonging to bi--Orlicz--Sobolev spaces. Our results generalize classical criteria from the Sobolev setting to the more flexible Orlicz framework. |
| title | Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2601.14486 |