$T1$ criterions for generalised Calderón--Zygmund type operators on Hardy and BMO spaces associated to Schrödinger operators and applications

The Anh Bui, Ji Li, Fu Ken Ly

Suppose $L=-\Delta +V$ is a Schrödinger operator on ${\mathbb{R}}^n$ with a potential $V$ belonging to certain reverse Hölder class $R{H}_{\sigma }$ with $\sigma \ge n/2$. The main aim of this paper is t…