Area formulas for classes of Hölder continuous mappings of Carnot groups
- Autores: Karmanova M.1
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Afiliações:
- Sobolev Institute of Mathematics
- Edição: Volume 58, Nº 5 (2017)
- Páginas: 817-836
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171446
- DOI: https://doi.org/10.1134/S0037446617050093
- ID: 171446
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Resumo
We prove area formulas for classes of the mappings that are Hölder continuous in the sub-Riemannian sense and defined on nilpotent graded groups. Moreover, in one of the model cases, we establish an area formula for calculating the initial measure and a measure close to it.
Sobre autores
M. Karmanova
Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: maryka@math.nsc.ru
Rússia, Novosibirsk