3 papers
math.AP2016
Hardy Inequalities for the Heisenberg Laplacian on convex bounded polytopes
Bartosch Ruszkowski
We prove a Hardy-type inequality for the gradient of the Heisenberg Laplacian on open bounded convex polytopes on the first Heisenberg Group. The integral weight of the Hardy inequ…
math-ph2016
Spectral estimates for the Heisenberg Laplacian on cylinders
Hynek Kovarik, Bartosch Ruszkowski, Timo Weidl
We study Riesz means of eigenvalues of the Heisenberg Laplacian with Dirichlet boundary conditions on a cylinder in dimension three. We obtain an inequality with a sharp leading te…
math.SP2015
Melas-type bounds for the Heisenberg Laplacian on bounded domains
Hynek Kovarik, Bartosch Ruszkowski, Timo Weidl
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…