Coercive Inequalities in Higher-Dimensional Anisotropic Heisenberg Group

Esther Bou Dagher, Boguslaw Zegarlinski

In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincaré and $\beta -$Logarithmic Sobolev ineq…