Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold
Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold
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DOI：
10.1007/s00526-012-0523-2
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发表时间：
2013-01
影响因子：
2.1
通讯作者：
Amine Aribi;Ahmad El Soufi
中科院分区：
文献类型：
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作者：
Amine Aribi;Ahmad El Soufi
我们建立了严格伪凸CR流形上伪厄米特结构的次拉普拉斯算子的特征值不等式。我们的不等式推广了Niu和Zhang（Pac J Math 208（2）：325-345，2003 [26]）关于Heisenberg群中有界域上的次拉普拉斯算子的Dirichlet特征值的不等式，并且是在著名的Payne-Pólya-Weinberger和Yang泛不等式的精神之下。
We establish inequalities for the eigenvalues of the sub-Laplace operator associated with a pseudo-Hermitian structure on a strictly pseudoconvex CR manifold. Our inequalities extend those obtained by Niu and Zhang (Pac J Math 208(2):325–345, 2003 [26]) for the Dirichlet eigenvalues of the sub-Laplacian on a bounded domain in the Heisenberg group and are in the spirit of the well known Payne–Pólya–Weinberger and Yang universal inequalities.