On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909182879334400 |
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| author | Sevost'yanov, E. O. Targonskii, V. A. |
| author_facet | Sevost'yanov, E. O. Targonskii, V. A. |
| contents | We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such mappings is a discrete mapping. We separately considered domains that are locally connected at their boundary and regular domains in the quasiconformal sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping Sevost'yanov, E. O. Targonskii, V. A. Complex Variables 30C65 We have studied the mappings that satisfy the Poletsky-type inverse inequality in the domain of the Euclidean space. It is proved that the uniform boundary of the family of such mappings is a discrete mapping. We separately considered domains that are locally connected at their boundary and regular domains in the quasiconformal sense. |
| title | On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping |
| topic | Complex Variables 30C65 |
| url | https://arxiv.org/abs/2404.17060 |