English

Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains

Complex Variables 2017-07-18 v1

Abstract

We give the parameter version of localization theorem for Bergman metric near the boundary points of strictly pseudoconvex domains. The approximation theorem for square integrable holomorphic functions on such domains in the spirit of Graham-Kerzman is proved in the hereby paper, as well.

Keywords

Cite

@article{arxiv.1707.04708,
  title  = {Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains},
  author = {Arkadiusz Lewandowski},
  journal= {arXiv preprint arXiv:1707.04708},
  year   = {2017}
}