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Matematicheskie Zametki, 1998, Volume 64, Issue 1, Pages 64–72
DOI: https://doi.org/10.4213/mzm1373
(Mi mzm1373)
 

Removable singularities of plurisubharmonic functions of restricted growth

N. G. Karpova

M. V. Lomonosov Moscow State University
References:
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
English version:
Mathematical Notes, 1998, Volume 64, Issue 1, Pages 55–62
DOI: https://doi.org/10.1007/BF02307196
Bibliographic databases:
UDC: 517.57
Language: Russian
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
Citation in format AMSBIB
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\by N.~G.~Karpova
\paper Removable singularities of plurisubharmonic functions of restricted growth
\jour Mat. Zametki
\yr 1998
\vol 64
\issue 1
\pages 64--72
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\crossref{https://doi.org/10.4213/mzm1373}
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\zmath{https://zbmath.org/?q=an:0922.32009}
\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 1
\pages 55--62
\crossref{https://doi.org/10.1007/BF02307196}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078147600008}
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