Abstract
We obtain the Poincaré inequality for the equiregular Carnot-Carathéodory spaces spanned by vector fields with Hölder class derivatives.
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Original Russian Text Copyright © 2014 Basalaev S.G.
The author was supported by the Grant of the Russian Federation for the State Support of Researches (Agreement 14.B25.31.0029).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 2, pp. 267–284, March–April, 2014.
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Basalaev, S.G. The Poincaré inequality for C 1,α-smooth vector fields. Sib Math J 55, 215–229 (2014). https://doi.org/10.1134/S0037446614020049
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DOI: https://doi.org/10.1134/S0037446614020049