Weak convergence of Monge-Ampère measures on compact Hermitian manifolds

Weak convergence of Monge-Ampère measures on compact Hermitian manifolds

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-Ampère measures converges weakly. This criterion can be used to obtained a bounded \(\omega\)-plurisubharmonic solu...

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Veröffentlicht in:arXiv.org 2022-12
Hauptverfasser: Kolodziej, Slawomir, Nguyen, Ngoc Cuong
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Convergence
Harmonic functions
Monge-Ampere equation
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description 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-Ampère measures converges weakly. This criterion can be used to obtained a bounded \(\omega\)-plurisubharmonic solution to the Monge-Ampère equation.
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subjects Convergence
Harmonic functions
Monge-Ampere equation
title Weak convergence of Monge-Ampère measures on compact Hermitian manifolds
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