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Let $\Omega$ is be a pseudo convex domain. Let $r$ is be any $C^2$ function $r: \mathbb C^2\to \mathbb R$. Let $\Omega: \{z: r(z)<0\}$. Then we know that $\psi: -log(-r)+\lambda |z|^2$ is Plurisubharmonic a plurisubharmonic function for large $\lambda$.

Is $-log(-r)$ is also plurisubharmonic. ? May i get I have an answer or even Hint. a hint? Thanks in advance.

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# Plurisubharmonic function

Let $\Omega$ is a pseudo convex domain. Let $r$ is any $C^2$ function $r: \mathbb C^2\to \mathbb R$. Let $\Omega: \{z: r(z)<0\}$ Then we know that $\psi: -log(-r)+\lambda |z|^2$ is Plurisubharmonic function for large $\lambda$.

Is $-log(-r)$ is also plurisubharmonic. May i get an answer or even Hint. Thanks in advance.