On convergence of homeomorphisms with inverse modulus inequality
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910472479965184 |
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| author | Sevost'yanov, Evgeny Targonskii, Valery |
| author_facet | Sevost'yanov, Evgeny Targonskii, Valery |
| contents | We have studied homeomorphisms that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform limit of the family of such homeomorphisms is either a homeomorphism into the Euclidean space, or a constant in the extended Euclidean space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02692 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On convergence of homeomorphisms with inverse modulus inequality Sevost'yanov, Evgeny Targonskii, Valery Complex Variables 30C65 We have studied homeomorphisms that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform limit of the family of such homeomorphisms is either a homeomorphism into the Euclidean space, or a constant in the extended Euclidean space. |
| title | On convergence of homeomorphisms with inverse modulus inequality |
| topic | Complex Variables 30C65 |
| url | https://arxiv.org/abs/2406.02692 |