English

Pseudo-hyperbolic distance and n-best rational approximation in H^2 space

Functional Analysis 2021-10-27 v1

Abstract

Through reducing the problem to rational orthogonal system (Takenaka-Malmquist system), this note gives a proof for existence of n-best rational approximation to functions in the Hardy H2(D) space by using pseudohyperbolic distance.

Keywords

Cite

@article{arxiv.2012.06184,
  title  = {Pseudo-hyperbolic distance and n-best rational approximation in H^2 space},
  author = {Tao Qian and Yan-Bo Wang},
  journal= {arXiv preprint arXiv:2012.06184},
  year   = {2021}
}

Comments

9 pages

R2 v1 2026-06-23T20:53:43.756Z