English

Density of Polynomials in Sub-Bergman Hilbert Spaces

Complex Variables 2018-07-02 v1

Abstract

The sub-Bergman Hilbert spaces are analogues of de BrangesRovnyak spaces in the Bergman space setting. We prove that the polynomials are dense in sub-Bergman Hilbert spaces. This answers the question posted by Zhu in the affirmative.

Keywords

Cite

@article{arxiv.1806.11383,
  title  = {Density of Polynomials in Sub-Bergman Hilbert Spaces},
  author = {Cheng Chu},
  journal= {arXiv preprint arXiv:1806.11383},
  year   = {2018}
}