Complex Monge-Ampère equations for plurifinely plurisubharmonic functions

2022/06/19 by Hong, Nguyen Xuan, Van Can, Hoang, Lien, Nguyen Thi +1
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.09323

Abstract

This paper studies the complex Monge-Ampère 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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