A note on characterizing pluriharmonic functions via the Ohsawa--Takegoshi extension theorem
Complex Variables
2023-07-06 v1
Abstract
For a continuous function, we prove that the function is pluriharmonic if and only if the equality part of the optimal Ohsawa--Takegoshi -extension theorem is satisfied with respect to the metric having the function as a weight. This partially resolves the conjecture proposed by the author.
Keywords
Cite
@article{arxiv.2307.02048,
title = {A note on characterizing pluriharmonic functions via the Ohsawa--Takegoshi extension theorem},
author = {Takahiro Inayama},
journal= {arXiv preprint arXiv:2307.02048},
year = {2023}
}
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4 pages