论文标题
plurisubharmonic定义功能在$ \ mathbb c^2 $中
Plurisubharmonic Defining Functions in $\mathbb C^2$
论文作者
论文摘要
令$ω= \ {r <0 \} \ subset \ mathbb c^2 $，带有$ r $ plurisubharmonic在$bΩ= \ {r = 0 \} $上。令$ρ$为$ω$的另一个定义功能。计算了$ r $的$ρ$的复杂Hessian的决定因素的公式。该公式用于提供必要和足够的条件，使$ρ$（本地）plurisubharmonic。
Let $Ω=\{r<0\}\subset\mathbb C^2$, with $r$ plurisubharmonic on $bΩ=\{r=0\}$. Let $ρ$ be another defining function for $Ω$. A formula for the determinant of the complex Hessian of $ρ$ in terms of $r$ is computed. This formula is used to give necessary and sufficient conditions that make $ρ$ (locally) plurisubharmonic.
