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This article is cited in 1 scientific paper (total in 1 paper)
Analogs of Korn's inequality on Heisenberg groups
D. V. Isangulova Novosibirsk State University, Novosibirsk, Russia
Abstract:
We give two analogs of Korn's inequality on Heisenberg groups. First, the norm of the horizontal differential is estimated in terms of the symmetric part of the differential. Second, Korn's inequality is treated as a coercive estimate for a differential operator whose kernel coincides with the Lie algebra of the isometry group. For this purpose, we construct a differential operator whose kernel coincides with the Lie algebra of the isometry group on Heisenberg groups and prove a coercive estimate for the operator.
Keywords:
Heisenberg group, Korn inequality, integral representation formula, Lie algebra of the isometry group, coercive estimate.
Received: 31.10.2018 Revised: 16.06.2019 Accepted: 24.07.2019
Citation:
D. V. Isangulova, “Analogs of Korn's inequality on Heisenberg groups”, Sibirsk. Mat. Zh., 60:5 (2019), 1085–1102; Siberian Math. J., 60:5 (2019), 846–860
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https://www.mathnet.ru/eng/smj3135 https://www.mathnet.ru/eng/smj/v60/i5/p1085
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Abstract page: | 232 | Full-text PDF : | 92 | References: | 29 | First page: | 1 |
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