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

We consider inductive limits of weighted spaces of holomorphic functions in the unit ball of \(\mathbb C^n\). 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 th...

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Bibliographic Details
Published in:arXiv.org 2019-04
Main Authors: Hu, Bingyang, Le, Hai Khoi
Format: Article
Language:English
Subjects:
Analytic functions
Mathematical analysis
Sampling
Uniqueness
Online Access:Get full text
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Summary:We consider inductive limits of weighted spaces of holomorphic functions in the unit ball of \(\mathbb C^n\). 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.
ISSN:2331-8422