@article{VNGU_2018_18_4_a5,
author = {A. A. Rastrepaev},
title = {Lifting of homogeneous vector fields},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {81--87},
year = {2018},
volume = {18},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2018_18_4_a5/}
}
A. A. Rastrepaev. Lifting of homogeneous vector fields. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 4, pp. 81-87. http://geodesic.mathdoc.fr/item/VNGU_2018_18_4_a5/
[1] Hörmander L., “Hypoelliptic Second Order Differential Equations”, Acta Math., 119 (1967), 147–171 | DOI | MR | Zbl
[2] Folland G. B., “On the Rothschild–Stein Lifting Theorem”, Comm. Partial Differential Equations, 2 (1977), 165–191 | DOI | MR | Zbl
[3] Rothschild L. P., Stein E. M., “Hypoelliptic Differential Operators and Nilpotent Groups”, Acta Math., 137 (1976), 247–320 | DOI | MR
[4] Hörmander L., Melin A., “Free Systems of Vector Fields”, Ark. Mat., 16:1 (1978), 83–88 | DOI | MR | Zbl
[5] Bramanti M., Brandolini L., Pedroni M., “On the Lifting and Approximation Theorem for Nonsmooth Vector Fields”, Indiana Univ. Math. J., 59:6 (2010), 1889–1934 | DOI | MR
[6] S. G. Basalaev, “Simple proof of lifting theorem for vector fields”, Mat. Zametki, 98:4 (2015), 626–629 (in Russian) | DOI | MR | Zbl
[7] Bonfiglioli A., Uguzzoni F., “A Note on Lifting of Carnot Groups”, Rev. Mat. Iberoamericana, 21 (2005), 1–23 | MR
[8] Bonfiglioli A., Lanconelli E., Uguzzoni F., Stratified Lie Groups and Potential Theory for their Sub-Laplacians, Springer-Verlag, Berlin–Heidelberg, 2007 | MR | Zbl