Gaussian-type upper bound for the evolution kernels on nilpotent meta-abelian groups
Richard C. Penney, Roman Urban · Positivity · 2015
We give a Gaussian-type upper bound for the transition kernels of the time-inhomogeneous diffusion processes on a nilpotent meta-abelian Lie group N generated by the family of time dependent second order left-invariant differential operators. These evolution kernels are related to the heat kernel for the left-invariant second order differential operators on higher rank NA groups.