Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains

Published 1 Feb 2018 in math.CV | (1802.00186v1)

Abstract: Let $\mu$ be a non-negative measure defined on bounded $\mathcal F$-hyperconvex domain $\Omega$. We are interested in giving sufficient conditions on $\mu$ such that we can find a plurifinely plurisubharmonic function satisfying $NP (dd^c u)ⁿ =\mu$ in $QB(\Omega)$.

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