The pluripolar parts of the Monge–Ampère measures of $\mathcal F$-plurisubharmonic functions
Volume 128 / 2022
Annales Polonici Mathematici 128 (2022), 99-111
MSC: Primary 32U05; Secondary 32U1.
DOI: 10.4064/ap210318-4-10
Published online: 1 February 2022
Abstract
We introduce the notion of complex Monge–Ampère measures for a subclass of the class of unbounded $\mathcal F$-plurisubharmonic functions. This generalizes classical results by Cegrell [Ann. Inst. Fourier (Grenoble) 54 (2004), 159–179] who introduced the complex Monge–Ampère operator for unbounded plurisubharmonic functions.
