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Complex Monge-Ampère equations for plurifinely plurisubharmonic functions

Published 19 Jun 2022 in math.CV | (2206.09323v2)

Abstract: This paper studies the complex Monge-Amp`ere equations for $\mathcal F$-plurisubharmonic functions in bounded $\mathcal F$-hyperconvex domains. We give sufficient conditions for this equation to solve for measures with a singular part.

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