English

Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions

Complex Variables 2014-07-10 v1

Abstract

We prove a Thullen type extension theorem of plurisubharmonic functions across a closed complete pluripolar set, which generalizes a theorem of Siu. Our approach depends on an Ohsawa-Takegoshi type extension theorem for a single point in a bounded complete K\"ahler domain, which is of independent interest.

Keywords

Cite

@article{arxiv.1407.2339,
  title  = {Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions},
  author = {Bo-Yong Chen and Jujie Wu and Xu Wang},
  journal= {arXiv preprint arXiv:1407.2339},
  year   = {2014}
}