English

A comparison principle for Bergman kernels

Complex Variables 2015-01-13 v1 Differential Geometry

Abstract

We give a version of the comparison principle from pluripotential theory where the Monge-Amp\`ere measure is replaced by the Bergman kernel and use it to derive a maximum principle

Cite

@article{arxiv.1501.02440,
  title  = {A comparison principle for Bergman kernels},
  author = {Bo Berndtsson},
  journal= {arXiv preprint arXiv:1501.02440},
  year   = {2015}
}

Comments

6 pages. Dedicated to the memory of Mikael Passare

R2 v1 2026-06-22T07:57:32.833Z