Weak convergence of Monge-Ampere measures on compact Hermitian manifolds

Thời gian: 9h30 ngày 26/08/2025

Địa điểm: Phòng 508, nhà A6, Viện Toán học

Tóm tắt: We give a sufficient condition on a sequence of uniformly bounded $omega$-plurisubharmonic functions,$ omega$ being a Hermitian metric, for which the sequence of associated Monge-Amp`ere measures converges weakly. This criterion can be used to obtain a bounded $omega$ - plurisubharmonic solution to the Monge-Amp`ere equation. This is joint work with S. Kolodziej.