English

Reproducing kernels of some weighted Bergman spaces

Complex Variables 2020-09-08 v1

Abstract

Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergman kernel functions for specific weights and domains.

Keywords

Cite

@article{arxiv.2009.02989,
  title  = {Reproducing kernels of some weighted Bergman spaces},
  author = {Guan-Tie Deng and Yun Huang and Tao Qian},
  journal= {arXiv preprint arXiv:2009.02989},
  year   = {2020}
}