English

Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball

Complex Variables 2019-04-25 v1

Abstract

We consider inductive limits of weighted spaces of holomorphic functions in the unit ball of Cn\mathbb C^n. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under general conditions of the weights, is obtained.

Keywords

Cite

@article{arxiv.1904.10634,
  title  = {Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball},
  author = {Bingyang Hu and Le Hai Khoi},
  journal= {arXiv preprint arXiv:1904.10634},
  year   = {2019}
}