Melas-type bounds for the Heisenberg Laplacian on bounded domains
Hynek Kovařík
Universita di Brescia, ItalyBartosch Ruszkowski
Universität Stuttgart, GermanyTimo Weidl
Universität Stuttgart, Germany
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Abstract
We study Riesz means of the eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on bounded domains in . We obtain an inequality with a sharp leading term and an additional lower order term, improving the result of Hansson and Laptev [3].
Cite this article
Hynek Kovařík, Bartosch Ruszkowski, Timo Weidl, Melas-type bounds for the Heisenberg Laplacian on bounded domains. J. Spectr. Theory 8 (2018), no. 2, pp. 413–434
DOI 10.4171/JST/200