Geodesic
Removable singularities of plurisubharmonic functions of class $\operatorname{Lip}_\alpha$
Sbornik. Mathematics, Tome 186 (1995) no. 1, pp. 133-150 
A. S. Sadullaev; Zh. R. Yarmetov. Removable singularities of plurisubharmonic functions of class $\operatorname{Lip}_\alpha$. Sbornik. Mathematics, Tome 186 (1995) no. 1, pp. 133-150. http://geodesic.mathdoc.fr/item/SM_1995_186_1_a7/
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     author = {A. S. Sadullaev and Zh. R. Yarmetov},
     title = {Removable singularities of plurisubharmonic functions of class $\operatorname{Lip}_\alpha$},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_1_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $D$.}

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