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arXiv · 1511.04223

Melas-type bounds for the Heisenberg Laplacian on bounded domains

Hynek Kovarik·Bartosch Ruszkowski·Timo Weidl
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Abstract

We study Riesz means of the eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on bounded domains. We obtain an inequality with a sharp leading term and an additional lower order term, improving the result of Hanson and Laptev.

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Hynek Kovarik, Bartosch Ruszkowski, Timo Weidl. 2015-11-13. Melas-type bounds for the Heisenberg Laplacian on bounded domains. https://arxiv.org/abs/1511.04223

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