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Removable singularities of plurisubharmonic functions of restricted growth
Authors:N. G. Karpova
Affiliation:(1) M. V. Lomonosov Moscow State University, USSR
Abstract:LetG be a domain in Copfn,nge2, letA be a connected complex (n–1)-dimensional submanifold ofG, and letphiv be a plurisubharmonic function inGA. We obtain conditions on the growth ofphiv that guarantee the local boundedness ofphiv at a point a isinA sub G and the existence of a plurisubharmonic extension ofphiv toG.Translated fromMatematicheskie Zametki, Vol. 64, No. 1, pp. 64–72, July, 1998.The author wishes to express her gratitude to Professor E. M. Chirka for numerous useful discussions and for his assistance in writing the present text.
Keywords:plurisubharmonic function  removable singularity  Phragmen-Lindelö  f principle  analytic set
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