$L^p$-boundedness of Riesz transforms on solvable extensions of Carnot groups

Alessio Martini, Paweł Plewa

Let $G=N⋊\mathbb{R}$, where $N$ is a Carnot group and $\mathbb{R}$ acts on $N$ via automorphic dilations. Homogeneous left-invariant sub-Laplacians on $N$ and $\mathbb{R}$ c…