3 papers
math.CV2023
Plurifinely open sets and complex Monge-Ampère measures
Nguyen Xuan Hong
The aim of the paper is to investigate the structure of plurifinely open sets. As an application, we will prove an equality on complex Monge-Ampère measures in plurifinely open set…
math.CV2022
Complex Monge-Ampère equations for plurifinely plurisubharmonic functions
Nguyen Xuan Hong, Hoang Van Can, Nguyen Thi Lien +1
This paper studies the complex Monge-Ampère equations for -plurisubharmonic functions in bounded -hyperconvex domains. We give sufficient conditions for thi…
math.CV2016
Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains
Nguyen Xuan Hong, Tran Van Thuy
In this paper, we prove the Hölder continuity for solutions to the complex Monge-Ampère equations on non-smooth pseudoconvex domains of plurisubharmonic type .