Weighted $L^2$ theory for the Euclidean Dirac operator in higher dimensions

Guangbin Ren, Yuchen Zhang

We study weighted $L^2$ solvability for the Euclidean Dirac operator in dimensions $n\ge 3$. We prove that, on the exterior domain ${\mathbb{R}}^n\setminus \overline{B(0,1)}$ with…