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P. C. Niu and H. Q. Zhang, “Payne-Polya-Weinberge Type Inequalities for Eigenvalues of Nonelliptic Operators,” Pacific Journal of Mathematics, Vol. 208, No. 2, 2003, pp. 325-345. doi:10.2140/pjm.2003.208.325

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.