Email this article Area formulas for classes of Hölder continuous mappings of Carnot groups
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 58, No 5 (2017)
- Pages: 817-836
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171446
- DOI: https://doi.org/10.1134/S0037446617050093
- ID: 171446
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Abstract
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.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk
