Measures on the Images of Compositions of Classes of Lipschitz Mappings on Two-Step Carnot Groups Full article
| Journal |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2026, Volume: 47, Number: 2, Pages: 552-568 Pages count : 17 DOI: 10.1134/s1995080225615048 | ||||
| Tags | Lipschitz mapping, composition of mappings, graph mapping, twostep Carnot group, area formula, adapted basis, intrinsic measure | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Министерство науки и высшего образования РФ | 075-15-2025-349 |
Abstract:
For compositions of continuously differentiable in the sub-Riemannian sense mappings of Carnot groups constructed by the graph-mapping principle, a new local approximation is introduced by an analog of a linear mapping with a minimal transformation of the basis in the image.
The accuracy of the estimate for such an approximation is demonstrated, and a new method for computing the measure on the image is derived.
Cite:
Karmanova M.B.
Measures on the Images of Compositions of Classes of Lipschitz Mappings on Two-Step Carnot Groups
Lobachevskii Journal of Mathematics. 2026. V.47. N2. P.552-568. DOI: 10.1134/s1995080225615048 WOS Scopus OpenAlex
Measures on the Images of Compositions of Classes of Lipschitz Mappings on Two-Step Carnot Groups
Lobachevskii Journal of Mathematics. 2026. V.47. N2. P.552-568. DOI: 10.1134/s1995080225615048 WOS Scopus OpenAlex
Dates:
| Submitted: | Nov 14, 2025 |
| Accepted: | Dec 10, 2025 |
| Published print: | Jun 15, 2026 |
| Published online: | Jun 15, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001795764600017 |
| ≡ Scopus: | 2-s2.0-105041981662 |
| ≡ OpenAlex: | W7164880666 |