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Melas-type bounds for the Heisenberg Laplacian on bounded domains - MaRDI portal

Melas-type bounds for the Heisenberg Laplacian on bounded domains (Q1650222)

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Melas-type bounds for the Heisenberg Laplacian on bounded domains
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    Melas-type bounds for the Heisenberg Laplacian on bounded domains (English)
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    2 July 2018
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    Summary: We study Riesz means of the eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on bounded domains in \(\mathbb{R}^3\). We obtain an inequality with a sharp leading term and an additional lower order term, improving the result of \textit{A. M. Hansson} and \textit{A. Laptev} [Lond. Math. Soc. Lect. Note Ser. 354, 100--115 (2008; Zbl 1157.58008)].
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    Heisenberg Laplacian
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    Berezin-Li-Yau inequality
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