Ohsawa-Takegoshi type theorem and extension of plurisubharmonic   functions
  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. 
Bo-Yong Chen, Jujie Wu and Xu Wang
math.CV