$\mathcal{R}$-boundedness of Riesz transforms and spectral multipliers of Schrödinger operators

El Maati Ouhabaz

Let $\LL = -Δ+ V$ be a Schrödinger operator with a non-negative potential. It is known that its associated Riesz transform $\nabla \LL^{-\sfrac{1}{2}}$ is bounded on $L^p(\RR^d)$ f…