turkmath.org

In this talk, we will consider an intermediate class of quasiplurisubharmonic functions, namely Choquet-Monge-Ampere classes, on compact Kahler manifolds. With their small enough asymptotic capacity these classes play an important role as an intermediary tool in the understanding of complex Monge-Ampere operator. We will characterize these classes through Choquet Energy and then compare them with the usual finite energy classes. We will observe that with respect to different singularity types the comparison between Choquet-MongeAmpere classes and the finite energy classes yields totally different characteristics.