3 papers
math.CV2025
Some inequalities for the weighted log canonical thresholds
Nguyen Xuan Hong
Let be a plurisubharmonic function defined in a neighborhood of the origin in . For each real number , we associate to the weighted log canonical thresho…
math.CV2021
Local Hölder continuity of solutions of the complex Monge-Ampère equation
Nguyen Xuan Hong, Pham Thi Lieu
In this paper, we are interested in studying the Dirichlet problem for the complex Monge-Ampère operator. We provide necessary and sufficient conditions for the problem to have Höl…
math.CV2018
On the approximation of weakly plurifinely plurisubharmonic functions
Nguyen Xuan Hong, Hoang Van Can
In this note, we study the approximation of singular plurifinely plurisubharmonic function defined on a plurifinely domain . Under some conditions, we prove that can be…