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Removable singularities of plurisubharmonic functions of restricted growth
N. G. Karpova M. V. Lomonosov Moscow State University
Abstract:
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 $G$.
Received: 26.05.1993
Citation:
N. G. Karpova, “Removable singularities of plurisubharmonic functions of restricted growth”, Mat. Zametki, 64:1 (1998), 64–72; Math. Notes, 64:1 (1998), 55–62
Linking options:
https://www.mathnet.ru/eng/mzm1373https://doi.org/10.4213/mzm1373 https://www.mathnet.ru/eng/mzm/v64/i1/p64
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