An extremal problem for generalized Lelong numbers
Complex Variables
2009-07-01 v2
Abstract
We look for pointwise bounds on a plurisubharmonic function near its singularity point, given the value of its generalized Lelong number with respect to a plurisubharmonic weight. To this end, an extremal problem is considered. In certain cases, the problem is solved explicitly.
Keywords
Cite
@article{arxiv.0903.0849,
title = {An extremal problem for generalized Lelong numbers},
author = {Alexander Rashkovskii},
journal= {arXiv preprint arXiv:0903.0849},
year = {2009}
}
Comments
22 pages; final version, to appear in Math. Z