On $L^p$ estimates for positivity-preserving Riesz transforms related to Schrödinger operators

Maciej Kucharski, Błażej Wróbel

We study the $L^p,$ $1⩽p⩽\infty ,$ boundedness for Riesz transforms of the form $V^a(-\frac{1}{2}\hat{I}”+V{)}^{-a},$ where $a>0$ and $V$ is a non-negative potential.…