Definition 7.7.6.FD8547B922C9 Let $\Omega \subset \mathbb C^ n$ be open. A plurisubharmonic function $u$ on $\Omega $ is maximal if every plurisubharmonic function $v$ on $\Omega $ with $v\le u$ outside a compact subset of $\Omega $ satisfies $v\le u$ everywhere.
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