Abstract:

Let $L=-\Delta_{{\Bbb H}^{n}}+V$ be a Schrödinger operator on the Heisenberg group ${\Bbb H}^{n}$, where $V$ is a nonnegative potential belonging to the reverse Hölder class. By the molecular decomposition of the Hardy space $H_{L}^{p}({\Bbb H}^{n})$, we obtain the $H^p_L$-boundedness of the Riesz transform associated with $L$.

Key words: Hardy spaces, Heisenberg group, Riesz transform, Schrö dinger operators