English

On the Szego metric

Complex Variables 2011-09-19 v1

Abstract

We introduce a new biholomorphically invariant metric based on Fefferman's invariant Szego kernel and investigate the relation of the new metric to the Bergman and Carath\'eodory metrics. A key tool is a new absolutely invariant function assembled from the Szego and Bergman kernels.

Cite

@article{arxiv.1109.3484,
  title  = {On the Szego metric},
  author = {David Barrett and Lina Lee},
  journal= {arXiv preprint arXiv:1109.3484},
  year   = {2011}
}
R2 v1 2026-06-21T19:05:37.687Z