Salimov R. R.
ORCID: https://orcid.org/0000-0001-9395-3334 and Sevost’yanov Е. А.
ORCID: https://orcid.org/0000-0001-7892-6186
(2011)
\(ACL\) and differentiability of open discrete ring \((p, Q)\)-mappings.
Математичні Студії. Т. 35, № 1.
pp. 28-36.
ISSN 1027-4634.
DOI: 10.30970/ms.35.1.28-36.
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Abstract
We study the so-called \((p, Q)\)-mappings which naturally generalize quasiregular mappings. It is proved that open discrete ring \((p, Q)\)-mappings are differentiable almost everywhere as \(p > n - 1\) and locally integrable \(Q\). Furthermore, we prove that open discrete \((p, Q)\)-mappings belong to the class \(ACL\) in \(\mathbb{R}^n\) and \(f \in W_{\text{loc}}^{1,1}\) the same conditions on \(p\) and \(Q\).
| 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 |
| Depositing User: | Ірина Ігорівна Таргонська |
| Date Deposited: | 12 Nov 2014 12:03 |
| Last Modified: | 11 Aug 2026 01:59 |
| URI: | https://eprints.zu.edu.ua/id/eprint/13948 |
| ДСТУ 8302:2015: | Salimov R. R. and Sevost’yanov Е. А. \(ACL\) and differentiability of open discrete ring \((p, Q)\)-mappings. Математичні Студії. 2011. Т. 35, № 1. pp. 28-36. DOI: 10.30970/ms.35.1.28-36. |


