Article citationsMore>>

B. Helffer and D. Robert, “Riesz Means of Bounded States and Semi-Classical Limit Connected with a Lieb-Thirring Conjecture, II, Ann. Inst. H. Poincar,” Phys. Théor., Vol. 53, 1990, pp. 139-147

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.