Analogs of Korn’s Inequality on Heisenberg Groups
- 作者: Isangulova D.1
-
隶属关系:
- Novosibirsk State University
- 期: 卷 60, 编号 5 (2019)
- 页面: 846-860
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172646
- DOI: https://doi.org/10.1134/S0037446619050082
- ID: 172646
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详细
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.
作者简介
D. Isangulova
Novosibirsk State University
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Email: d.isangulova@g.nsu.ru
俄罗斯联邦, Novosibirsk