Dimension-free estimates for positivity-preserving Riesz transforms related to Schrödinger operators with certain potentials

Maciej Kucharski

We study the $L^{\infty }({\mathbb{R}}^d)$ boundedness for Riesz transforms of the form $V^a(-\frac{1}{2}\Delta +V{)}^{-a},$ where $a>0$ and $V$ is a non-negative potential with power growth…