Local Indicators for Plurisubharmonic Functions

Details Local Indicators for Plurisubharmonic Functions Local Indicators for Plurisubharmonic Functions

1999-01-05

arxiv.org/abs/math/9901014v1

Mathematics

Complex Variables

18 pages, LaTeX; to appear in J. Math. Pures Appl

Scientific paper

A notion of local indicator for a plurisubharmonic function is introduced. The indicator is a certain plurisubharmonic function in the unit polydisc, which controls the behavior of the considered function near a fixed point of its singularity, as well as the residual Monge-Ampere mass of the function at this point. A pluricomplex Green function with respect to given indicators is constructed and applied to the Dirichlet problem for the Monge- Ampere operator in the class of plurisubharmonic functions with isolated singularities.

Affiliated with

Also associated with

No associations

Rating

Local Indicators for Plurisubharmonic Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local Indicators for Plurisubharmonic Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local Indicators for Plurisubharmonic Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-217635