On Bergman completeness of non-hyperconvex domains

Details On Bergman completeness of non-hyperconvex domains On Bergman completeness of non-hyperconvex domains

1999-09-28

arxiv.org/abs/math/9909164v1

Mathematics

Complex Variables

13 pages

Scientific paper

We study the problem of the boundary behaviour of the Bergman kernel and the Bergman completeness in some classes of bounded pseudoconvex domains, which contain also non-hyperconvex domains. Among the classes for which we prove the Bergman completeness and the convergence of the Bergman kernel to infinity while tending to the boundary are all bounded pseudoconvex balanced domains, all bounded Hartogs domains with balanced fibers over regular domains and some bounded Laurent-Hartogs domains.

Affiliated with

Also associated with

No associations

Rating

On Bergman completeness of non-hyperconvex domains 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 On Bergman completeness of non-hyperconvex domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Bergman completeness of non-hyperconvex domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423988