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Weak convergence of Monge-Ampère measures on compact Hermitian manifolds (2212.11550v1)
Published 22 Dec 2022 in math.CV
Abstract: 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 obtained a bounded $\omega$-plurisubharmonic solution to the Monge-Amp`ere equation.