Subextension of plurisubharmonic functions without increasing the total Monge-Ampère mass
We prove that subextension of certain plurisubharmonic functions is always possible without increasing the total Monge-Ampère mass.
Plurisubharmonic functions on compact sets
Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in ℂⁿ. We show that these functions can be completely characterized in terms of monotone convergence of plurisubharmonic functions defined on neighborhoods of the compact.
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