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arxiv: 1604.01135 · v2 · pith:AKMV5ANGnew · submitted 2016-04-05 · 🧮 math.CV

Local property of maximal plurifinely plurisubharmonic functions

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keywords mathcalmaximalfunctionsplurisubharmoniccontinuousdefinedlocallocally
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In this paper, we prove that a continuous $\mathcal F$-plurisubharmonic functions defined in an $\mathcal F$-open set in $\mathbb C^n$ is $\mathcal F$-maximal if and only if it is $\mathcal F$-locally $\mathcal F$-maximal.

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