We prove an optimal Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions without assuming their continuity. This generalizes a result of Y. Wang. As a corollary we generalize an estimate from \cite{DD18}. We also address a problem posed in \cite{Wan12}.

中文翻译：

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多次谐波函数的 Alexandrov-Bakelman-Pucci 型估计

我们证明了多次谐波函数的最优 Alexandrov-Bakelman-Pucci 类型估计，而不假设它们的连续性。这概括了 Y. Wang 的结果。作为推论，我们概括了 \cite{DD18} 的估计。我们还解决了 \cite{Wan12} 中提出的问题。