Estimates for the Poisson kernel and the evolution kernel on nilpotent meta-abelian groups

Richard Penney, Roman Urban

Let $S$ be a semi direct product $S=N⋊A$ where $N$ is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and $A$ is isomorphic with ${\mathbb{R}}^k,$ $k>1…