A sharp multiplier theorem for solvable extensions of Heisenberg and related groups

Alessio Martini, Paweł Plewa

Let $G$ be the semidirect product $N⋊\mathbb{R}$, where $N$ is a stratified Lie group and $\mathbb{R}$ acts on $N$ via automorphic dilations. Homogeneous left-invariant sub…