English

Dominating sets in Bergman spaces and sampling constants

Classical Analysis and ODEs 2020-06-29 v2 Complex Variables

Abstract

We discuss sampling constants for dominating sets in Bergman spaces. Our method is based on a Remez-type inequality by Andrievskii and Ruscheweyh. We also comment on extensions of the method to other spaces such as Fock and Paley-Wiener spaces.

Cite

@article{arxiv.2004.05031,
  title  = {Dominating sets in Bergman spaces and sampling constants},
  author = {Andreas Hartmann and Dantouma Kamissoko and Konaté Siaka and Marcu-Antone Orsoni},
  journal= {arXiv preprint arXiv:2004.05031},
  year   = {2020}
}

Comments

Minor corrections

R2 v1 2026-06-23T14:46:53.390Z