Abstract
LetG be a domain in ℂn,n≥2, letA be a connected complex (n−1)-dimensional submanifold ofG, and letϕ be a plurisubharmonic function inGA. We obtain conditions on the growth ofϕ that guarantee the local boundedness ofϕ at a point a ∈A ⊂ G and the existence of a plurisubharmonic extension ofϕ toG.
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References
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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.
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Karpova, N.G. Removable singularities of plurisubharmonic functions of restricted growth. Math Notes 64, 55–62 (1998). https://doi.org/10.1007/BF02307196
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DOI: https://doi.org/10.1007/BF02307196