An extremal problem for generalized Lelong numbers

Details An extremal problem for generalized Lelong numbers An extremal problem for generalized Lelong numbers

2009-03-04

arxiv.org/abs/0903.0849v2

Mathematics

Complex Variables

22 pages; final version, to appear in Math. Z

Scientific paper

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.

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