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Monge-Ampère measures associated with semi-exhaustive functions. (English) Zbl 1510.32074

Summary: In this paper, we study the current \(T \wedge \mathrm{dd}^c\psi\) for positive currents \(T\) and semi-exhaustive, not necessarily plurisubharmonic, functions \(\psi\). The study leads to new definitions of capacity and Lelong-Demailly numbers with respect to the weight \(\psi\).

MSC:

32U05 Plurisubharmonic functions and generalizations
32U40 Currents

References:

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