A note on plurisubharmonic defining functions in$$mathbb{C}^2$$ |
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| Authors: | J. E. Fornæss A. -K. Herbig |
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| Affiliation: | (1) Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA |
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| Abstract: | ![]()
Let Ω ?? (mathbb{C}^2) be a smoothly bounded domain. Suppose that Ω admits a smooth defining function which is plurisubharmonic on the boundary of Ω. Then the Diederich-Fornæss exponent can be chosen arbitrarily close to 1, and the closure of Ω admits a Stein neighborhood basis. |
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| Keywords: | Plurisubharmonic defining functions Stein neighborhood basis DF exponent |
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