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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1001–1039 (Mi smj2586)  
This article is cited in 17 scientific papers (total in 17 papers)

Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings

S. K. Vodop'yanovab, N. A. Evseevab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (549 kB) Citations (17)
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Abstract: We study the properties of the mappings on a Carnot group which induce, via the change-of-variables rule, the isomorphisms of Sobolev spaces with the summability exponent different from the Hausdorff dimension of the group.
Keywords: superposition operator, Sobolev space, quasi-isometry, Carnot group.
Received: 20.12.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 5, Pages 817–848
DOI: https://doi.org/10.1134/S0037446614050048
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.54
Language: Russian
Citation: S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings”, Sibirsk. Mat. Zh., 55:5 (2014), 1001–1039; Siberian Math. J., 55:5 (2014), 817–848
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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