An extremal problem for generalized Lelong numbers

作者：Rashkovskii Alexander^*

来源：Mathematische Zeitschrift, 2010, 266(2): 345-362.

DOI：10.1007/s00209-009-0572-1

• Plurisubharmonic function
• Generalized Lelong number
• Pluricomplex Green function

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.

• 出版日期2010-10