Removable singularities of plurisubharmonic functions of class $\operatorname{Lip}_\alpha$

The structure of singular sets of subharmonic functions satisfying a Lipschitz condition is analyzed. The following theorem is the main result of the paper.
Theorem. {\it Let $E$ be a closed subset of a domain $D\subset\mathbb R^n$ such that $H_{n-2+\alpha}(E)=0$, $0\leqslant\alpha\leqslant2$. Then every function in the class $\operatorname{Lip}_\alpha(D)$ that is subharmonic in $D\setminus E$ extends subharmonically to $D$.}