TITLE:
On Riesz Mean Inequalities for Subelliptic Laplacian
AUTHORS:
Gao Jia, Jianming Wang, Ya Xiong
KEYWORDS:
Heisenberg Group, Riesz Mean, Subelliptic Laplacian
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.6,
June
21,
2011
ABSTRACT: In this paper, we mainly focus on the Riesz means of eigenvalues of the subelliptic Laplacian on the Heisenberg group Hn. We establish a trace formula of associated eigenvalues, then we prove differential inequalities, difference inequalities and monotonicity formulas for the Riesz means of eigenvalues of the subelliptic Laplacian.