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Plurisubharmonic
defining functions
John Erik Fornaess |
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Vol. 80 (1979), No. 2, 381–388
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Abstract |
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Let Ω be a bounded pseudoconvex open set in n-dimensional complex Euclidean space Cn with a smooth (𝒞∞)-boundary. It has been known for some time that it is not always possible to choose a defining function ρ which is plurisubharmonic in a neighborhood of Ω. We study here the question whether for every point p ∈ ∂Ω, there exists an open neighborhood on which ρ can be chosen to be plurisubharmonic. Our main conclusion is that this is not always the case. |
Mathematical Subject Classification
Primary: 32F05
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Milestones
Received: 12 May 1978
Published: 1 February 1979
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Authors |
| John Erik Fornaess | |
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