H^pspaces associated with Schrödinger operators with potentials from reverse Hölder classes

Abstract

Let $A=-{\mit \Delta } +V$ be a Schrödinger operator on ${{\mathbb R}}^d$, $d\geq 3$, where $V$ is a nonnegative potential satisfying the reverse Hölder inequality with an exponent $q>d/2$. We say that $f$ is an element of $H^p_A$ if the maximal function