Payne–Polya–Weinberger type inequalities for eigenvalues of nonelliptic operators
Payne–Polya–Weinberger type inequalities for eigenvalues of nonelliptic operators
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DOI：
10.2140/pjm.2003.208.325
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发表时间：
2003-02
影响因子：
0.6
通讯作者：
P. Niu;Huiqing Zhang
中科院分区：
文献类型：
--
作者：
P. Niu;Huiqing Zhang
本文研究了几种非椭圆算子的特征值问题，其中包括Heisenberg算子中的实数Kohn-Laplacian算子和广义Baouendi-Grushin算子。通过建立非交换向量场的恒等式和不等式，给出了特征值的一些兴趣不等式。
In this paper we consider the eigenvalue problems for some nonelliptic operators which include the real Kohn-Laplacian in the Heisenberg and generalized Baouendi-Grushin operator. Some interest inequalities for eigenvalues are given by establishing the identities and inequalities for noncommutative vector fields.