Green vs. Lempert functions: a minimal example

Details Green vs. Lempert functions: a minimal example Green vs. Lempert functions: a minimal example

2011-04-11

arxiv.org/abs/1104.1985v3

Mathematics

Complex Variables

v3: proof of the upper estimate for the Green function added; accepted in Pacific Journal of Mathematics

Scientific paper

The Lempert function for a set of poles in a domain of $\mathbb C^n$ at a point $z$ is obtained by taking a certain infimum over all analytic disks going through the poles and the point $z$, and majorizes the corresponding multi-pole pluricomplex Green function. Coman proved that both coincide in the case of sets of two poles in the unit ball. We give an example of a set of three poles in the unit ball where this equality fails.

Affiliated with

Also associated with

No associations

Rating

Green vs. Lempert functions: a minimal example 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 Green vs. Lempert functions: a minimal example, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Green vs. Lempert functions: a minimal example will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-58839