Gol’dshtein V. M.
ORCID: https://orcid.org/0000-0001-6761-9607, Sevost’yanov Е. А.ORCID: https://orcid.org/0000-0001-7892-6186 and Ukhlov A. D.ORCID: https://orcid.org/0000-0001-5560-2488
(2022)
On the Boundary Behavior of Weak \((p, q)\)-Quasiconformal Mappings.
Український математичний вісник. Т. 19, № 4.
pp. 478-488.
ISSN 1810-3200.
DOI: 10.37069/1810-3200-2022-19-4-3.
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Abstract
Let \(\Omega\) and \(\widetilde{\Omega}\) be domains in the Euclidean space \(\mathbb{R}^n\). We study the boundary behavior of weak \((p, q)\)-quasiconformal mappings \(\varphi : \Omega \to \widetilde{\Omega}\), \(n - 1 < q \leqslant p < n\). The suggested method is based on the capacitary distortion properties of the weak \((p, q)\)-quasiconformal mappings.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Quasiconformal mappings, Sobolev spaces |
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Євген Олександрович Севостьянов |
| Date Deposited: | 23 Aug 2026 22:15 |
| Last Modified: | 23 Aug 2026 22:33 |
| URI: | https://eprints.zu.edu.ua/id/eprint/49144 |
| ДСТУ 8302:2015: | Gol’dshtein V. M. and Sevost’yanov Е. А. and Ukhlov A. D. On the Boundary Behavior of Weak \((p, q)\)-Quasiconformal Mappings. Український математичний вісник. 2022. Т. 19, № 4. pp. 478-488. DOI: 10.37069/1810-3200-2022-19-4-3. |
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