An extremal problem for generalized Lelong numbers
arXiv:0903.0849
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.
22 pages; final version, to appear in Math. Z