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math.CV2024
Complete pluripolar sets and removable singularities of plurisubharmonic functions
Xieping Wang
Inspired by Chen-Wu-Wang (Math. Ann. 362: 305--319, 2015), we prove a Hartogs type extension theorem for plurisubharmonic functions across a compact complete pluripolar set, which…
math.CV2024
Complex geodesics and complex Monge--Ampère equations with boundary singularity II
Xieping Wang
We study the parameter dependence of complex geodesics with prescribed boundary value and direction on bounded strongly linearly convex domains. As an important application we esta…
math.CV2024
On the Ohsawa-Takegoshi extension theorem and removable singularities of plurisubharmonic functions
Xieping Wang
The celebrated Ohsawa--Takegoshi extension theorem for holomorphic functions on bounded pseudoconvex domains in is a fundamental result in several complex varia…