English

Complete pluripolar sets and removable singularities of plurisubharmonic functions

Complex Variables 2024-12-17 v2

Abstract

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 is complementary to a classical theorem of Shiffman.

Keywords

Cite

@article{arxiv.2210.01416,
  title  = {Complete pluripolar sets and removable singularities of plurisubharmonic functions},
  author = {Xieping Wang},
  journal= {arXiv preprint arXiv:2210.01416},
  year   = {2024}
}

Comments

6 pages; final version