Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.17060 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909182879334400 |
|---|---|
| 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 |