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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 46–67 (Mi smj5)  
This article is cited in 7 scientific papers (total in 7 papers)

Differentiability of the mappings of Carnot–Caratheodory spaces in the Sobolev and $BV$-topologies

S. K. Vodop'yanov, D. V. Isangulova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (345 kB) Citations (7)
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Abstract: We prove differentiability of the mappings of the Sobolev classes and $BV$-mappings of Carnot–Carathéodory spaces in the topology of these classes. We infer from these results a generalization of the Calderon–Zygmund theorems for mappings of the Carnot–Carathéodory spaces and other facts.
Keywords: Carnot–Carathéodory space, mapping of the Sobolev class, mapping of bounded variation, differentiability.
Received: 14.10.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 37–55
DOI: https://doi.org/10.1007/s11202-007-0005-5
Bibliographic databases:
UDC: 514.763.22+517.518.17+514.752.8
Language: Russian
Citation: S. K. Vodop'yanov, D. V. Isangulova, “Differentiability of the mappings of Carnot–Caratheodory spaces in the Sobolev and $BV$-topologies”, Sibirsk. Mat. Zh., 48:1 (2007), 46–67; Siberian Math. J., 48:1 (2007), 37–55
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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