Ilkevych N. S.
ORCID: https://orcid.org/0000-0003-0999-2299, Sevost’yanov Е. А.ORCID: https://orcid.org/0000-0001-7892-6186 and Ukhlov A. D.ORCID: https://orcid.org/0000-0001-5560-2488
(2024)
On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends.
Complex Analysis and Operator Theory. Т. 18, № 4.
ISSN 1661-8254.
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Abstract
We study mappings satisfying the inverse Poletsky type inequality with respect to a non-conformal modulus. It was prove that such mappings, with some additional conditions, have a continuous extension to the boundary in terms of prime ends and form equicontinuous families of mappings.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics Faculty of Physics and Mathematics > Department of Physics and Methods of Its Teaching |
| Depositing User: | Євген Олександрович Севостьянов |
| Date Deposited: | 09 Jun 2024 16:32 |
| Last Modified: | 16 Aug 2025 00:04 |
| URI: | https://eprints.zu.edu.ua/id/eprint/39965 |
| ДСТУ 8302:2015: | Ilkevych N. S. and Sevost’yanov Е. А. and Ukhlov A. D. On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends. Complex Analysis and Operator Theory. 2024. Т. 18, № 4. |
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