Monge–Ampère measures of $\mathcal F$-plurisubharmonic functions

Abstract

We introduce the notion of complex Monge-Ampère measures for a subclass of the class of unbounded 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.