Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions

preprint2014arXivOpen access

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 Kähler domain, which is of independent interest.

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