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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 5, Pages 1056–1079
DOI: https://doi.org/10.17377/smzh.2017.58.509 (Mi smj2919) 		 
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
Full-text PDF (418 kB) Citations (13)
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DOI: https://doi.org/10.17377/smzh.2017.58.509
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.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60036-мол-а-дк
The author was supported by the Russian Foundation for Basic Research (Grant 16-31-60036-mol-a-dk).
Received: 10.11.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 5, Pages 817–836
DOI: https://doi.org/10.1134/S0037446617050093
Bibliographic databases:
Document Type: Article
UDC: 517.3+514.7
MSC: 35R30
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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