Article citationsMore>>

M. S. Ashbaugh and L. Hermi, “Universal Inequalities for Higher-Order Elliptic Operators,” Proceedings of the American Mathematical Society, Vol. 126, 1998 pp. 2623-2630. doi:10.1090/S0002-9939-98-04707-8

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.