Document Type
Article
Date
7-1-2010
Disciplines
Mathematics
Description/Abstract
Suppose that X is an analytic subvariety of a Stein manifold M and that varphi is a plurisubharmonic (psh) function on X which is dominated by a continuous psh exhaustion function u of M. Given any number c > 1, we show that varphi admits a psh extension to M which is dominated by cu on M. We use this result to prove that any omega-psh function on a subvariety of the complex projective space is the restriction of a global omega-psh function, where omega is the Fubini-Study Kahler form.
Recommended Citation
Coman, Dan; Guedj, Vincent; and Zeriahi, Ahmed, "Extension of Plurisubharmonic Functions with Growth Control" (2010). Mathematics - All Scholarship. 22.
https://surface.syr.edu/mat/22
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1007.0262