Choquet-Monge-Ampere Classes
  We introduce and study Choquet-Monge-Ampere classes on compact Kahler manifolds. They consist of quasi-plurisubharmonic functions whose sublevel sets have small enough asymptotic Monge-Ampere capacity. We compare them with finite energy classes, which have recently played an important role in Kahler Geometry. 
Vincent Guedj, Sibel Sahin, Ahmed Zeriahi
math.CV