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This article is cited in 13 scientific papers (total in 13 papers)
Area formulas for classes of Hölder continuous mappings of Carnot groups
M. B. Karmanova Sobolev Institute of Mathematics, Novosibirsk, Russia
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.
Keywords:
nilpotent graded group, Carnot group, Hölder continuous mapping, Lipschitz continuous mapping, graph mapping, intrinsic measure, area formula.
Received: 10.11.2016
Citation:
M. B. Karmanova, “Area formulas for classes of Hölder continuous mappings of Carnot groups”, Sibirsk. Mat. Zh., 58:5 (2017), 1056–1079; Siberian Math. J., 58:5 (2017), 817–836
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https://www.mathnet.ru/eng/smj2919 https://www.mathnet.ru/eng/smj/v58/i5/p1056
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Abstract page: | 240 | Full-text PDF : | 64 | References: | 45 | First page: | 13 |
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