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On Riesz Mean Inequalities for Subelliptic Laplacian
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Abstract
In this paper, we mainly focus on the Riesz means of eigenvalues of the subelliptic Laplacian on the Heisenberg group <i>H<sup>n</sup></i>. 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.
KeywordsHeisenberg GroupRiesz MeanSubelliptic Laplacian
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