Weak convergence of Monge-Amp\`ere measures on compact Hermitian manifolds
Abstract
We give a sufficient condition on a sequence of uniformly bounded ω-plurisubharmonic functions, ω being a Hermitian metric, for which the sequence of associated Monge-Amp\`ere measures converges weakly. This criterion can be used to obtained a bounded ω-plurisubharmonic solution to the Monge-Amp\`ere equation.
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