Coercive Inequalities in Higher-Dimensional Anisotropic Heisenberg Group
arXiv:2105.02593
Abstract
In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincaré and Logarithmic Sobolev inequalities for measures as a function of this fundamental solution.
29 pages