Melas-type bounds for the Heisenberg Laplacian on bounded domains
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🧮 math.SP
math-phmath.APmath.MP
keywords
boundeddomainsheisenberglaplaciantermadditionalboundarybounds
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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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