English

Integral Representations in Weighted Bergman Spaces on the Tube Domains

Complex Variables 2020-09-08 v1

Abstract

Herein, the Laplace transform representations for functions of weighted holomorphic Bergman spaces on the tube domains are developed. Then a weighted version of the edge-of-the-wedge theorem is derived as a byproduct of the main results.

Keywords

Cite

@article{arxiv.2009.02982,
  title  = {Integral Representations in Weighted Bergman Spaces on the Tube Domains},
  author = {Yun Huang and Guan-Tie Deng and Tao Qian},
  journal= {arXiv preprint arXiv:2009.02982},
  year   = {2020}
}