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Local property of maximal plurifinely plurisubharmonic functions (1604.01135v2)

Published 5 Apr 2016 in math.CV

Abstract: In this paper, we prove that a continuous $\mathcal F$-plurisubharmonic functions defined in an $\mathcal F$-open set in $\mathbb Cn$ is $\mathcal F$-maximal if and only if it is $\mathcal F$-locally $\mathcal F$-maximal.

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