Author(s)

Gao Jia, Jianming Wang, Ya Xiong

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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.

Heisenberg Group, Riesz Mean, Subelliptic Laplacian

G. Jia, J. Wang and Y. Xiong, "On Riesz Mean Inequalities for Subelliptic Laplacian," Applied Mathematics, Vol. 2 No. 6, 2011, pp. 694-698. doi: 10.4236/am.2011.26091.