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E. M. Harrell II and J. Stubbe, “On Trace Identities and Universal Eigenvalue Estimates for Some Partial Differential Operators,” Transactions of the American Mathematical Society, Vol. 349, No. 5, 1997, pp. 1797-1809. doi:10.1090/S0002-9947-97-01846-1

has been cited by the following article:

• 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.