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\(ACL\) and differentiability of open discrete ring \((p, Q)\)-mappings

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.

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