Weighted pluripotential theory on complex K\"{a}hler manifolds
Complex Variables
2012-10-19 v2
Abstract
We introduce a weighted version of the pluripotential theory on complex K\"{a}hler manifolds developed by Guedj and Zeriahi. We give the appropriate definition of a weighted pluricomplex Green function, its basic properties and consider its behaviour under holomorphic maps. We also establish a generalization of Siciak's H-principle.
Cite
@article{arxiv.0801.3015,
title = {Weighted pluripotential theory on complex K\"{a}hler manifolds},
author = {Maritza M. Branker and Malgorzata Stawiska},
journal= {arXiv preprint arXiv:0801.3015},
year = {2012}
}
Comments
Corrected proof of the domination principle, some notation uniformized, new references added