Quantitative Boundedness of Littlewood--Paley Functions on Weighted Lebesgue Spaces in the Schrödinger Setting

Junqiang Zhang, Dachun Yang

Let $L:=-\Delta +V$ be the Schrödinger operator on ${\mathbb{R}}^n$ with $n\ge 3$, where $V$ is a non-negative potential which belongs to certain reverse Hölder class $R{H}_q({\mathbb{R}}^n)$…