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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 267–284 (Mi smj2531)  
This article is cited in 1 scientific paper (total in 1 paper)

The Poincaré inequality for $C^{1,\alpha}$-smooth vector fields

S. G. Basalaev

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (378 kB) Citations (1)
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Abstract: We obtain the Poincaré inequality for the equiregular Carnot–Carathéodory spaces spanned by vector fields with Hölder class derivatives.
Keywords: Carnot–Carathéodory space, Poincaré inequality, embedding theorems.
Received: 23.09.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 215–229
DOI: https://doi.org/10.1134/S0037446614020049
Bibliographic databases:
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: S. G. Basalaev, “The Poincaré inequality for $C^{1,\alpha}$-smooth vector fields”, Sibirsk. Mat. Zh., 55:2 (2014), 267–284; Siberian Math. J., 55:2 (2014), 215–229
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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