Geodesic
Removable singularities of plurisubharmonic functions of restricted growth
Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 64-72

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Let $G$ be a domain in $\mathbb C^n$, $n\ge2$, let $A$ be a connected complex $(n-1)$-dimensional submanifold of $G$, and let $\varphi$ be a plurisubharmonic function in $G\setminus A$. We obtain conditions on the growth of $\varphi$ that guarantee the local boundedness of $\varphi$ at a point a $a\in A\subset G$ and the existence of a plurisubharmonic extension of $\varphi$ to $G$. 
@article{MZM_1998_64_1_a7,
     author = {N. G. Karpova},
     title = {Removable singularities of plurisubharmonic functions of restricted growth},
     journal = {Matemati\v{c}eskie zametki},
     pages = {64--72},
     publisher = {mathdoc},
     volume = {64},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a7/}
}
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N. G. Karpova. Removable singularities of plurisubharmonic functions of restricted growth. Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 64-72. http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a7/