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