Measures on the Images of Compositions of Classes of Lipschitz Mappings on Two-Step Carnot Groups | Sciact - Система учета научной деятельности ИМ СО РАН

Measures on the Images of Compositions of Classes of Lipschitz Mappings on Two-Step Carnot Groups Научная публикация

Журнал

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Вых. Данные

Год: 2026, Том: 47, Номер: 2, Страницы: 552-568 Страниц : 17 DOI: 10.1134/s1995080225615048

Ключевые слова

Lipschitz mapping, composition of mappings, graph mapping, twostep Carnot group, area formula, adapted basis, intrinsic measure

Авторы

Karmanova M.B. ^1,2

Организации

1	Novosibirsk State University, 630090, Novosibirsk, Russia
2	Sobolev Institute of Mathematics, 630090, Novosibirsk, Russia

Информация о финансировании (1)

Министерство науки и высшего образования РФ

075-15-2025-349

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.

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

Поступила в редакцию:	14 нояб. 2025 г.
Принята к публикации:	10 дек. 2025 г.
Опубликована в печати:	15 июн. 2026 г.
Опубликована online:	15 июн. 2026 г.

≡ Web of science:	WOS:001795764600017
≡ Scopus:	2-s2.0-105041981662
≡ OpenAlex:	W7164880666