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On Riesz Mean Inequalities for Subelliptic Laplacian

On Riesz Mean Inequalities for Subelliptic Laplacian
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摘要 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. 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.
机构地区 不详
出处 《Applied Mathematics》 2011年第6期694-698,共5页 应用数学(英文)
关键词 HEISENBERG GROUP RIESZ Mean Subelliptic LAPLACIAN Heisenberg Group Riesz Mean Subelliptic Laplacian
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