A variant of Hörmander's $L^2$ theorem for Dirac operator in Clifford analysis

Yang Liu, Zhihua Chen, Yifei Pan

In this paper, we give the Hörmander's $L^2$ theorem for Dirac operator over an open subset $\Omega \in {\mathbb{R}}^{n+1}$ with Clifford algebra. Some sufficient condition on the existence of the…