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arXiv · 2212.11550

Weak convergence of Monge-Amp\`ere measures on compact Hermitian manifolds

Slawomir Kolodziej·Ngoc Cuong Nguyen
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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.

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Slawomir Kolodziej, Ngoc Cuong Nguyen. 2022-12-22. Weak convergence of Monge-Amp\`ere measures on compact Hermitian manifolds. https://arxiv.org/abs/2212.11550

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