Melas-type bounds for the Heisenberg Laplacian on bounded domains
Spectral Theory
2015-11-16 v1 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1511.04223,
title = {Melas-type bounds for the Heisenberg Laplacian on bounded domains},
author = {Hynek Kovarik and Bartosch Ruszkowski and Timo Weidl},
journal= {arXiv preprint arXiv:1511.04223},
year = {2015}
}