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

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

We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of Cn. 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 some con...

Full description

Saved in:
Bibliographic Details
Main Authors: Hu, Bingyang, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
Subjects:
Science::Mathematics
Weighted Spaces
Holomorphic Functions
Online Access:https://hdl.handle.net/10356/163003
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-163003
record_format dspace
spelling sg-ntu-dr.10356-1630032022-11-15T04:25:44Z Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball Hu, Bingyang Khoi, Le Hai School of Physical and Mathematical Sciences Science::Mathematics Weighted Spaces Holomorphic Functions We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of Cn. 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 some conditions of the weights, is obtained. Ministry of Education (MOE) B. Hu: Supported in part NSF grant DMS 1600458 and NSF Grant 1500162. L. H. Khoi: Supported in part by MOE’s AcRF Tier 1 Grant M4011724.110 (RG128/16). 2022-11-15T04:25:44Z 2022-11-15T04:25:44Z 2022 Journal Article Hu, B. & Khoi, L. H. (2022). Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball. Complex Analysis and Operator Theory, 16(1). https://dx.doi.org/10.1007/s11785-021-01144-0 1661-8254 https://hdl.handle.net/10356/163003 10.1007/s11785-021-01144-0 2-s2.0-85120173083 1 16 en M4011724.110 (RG128/16) Complex Analysis and Operator Theory © 2021 Springer. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics
Weighted Spaces
Holomorphic Functions
spellingShingle Science::Mathematics
Weighted Spaces
Holomorphic Functions
Hu, Bingyang
Khoi, Le Hai
Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
description We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of Cn. 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 some conditions of the weights, is obtained.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Hu, Bingyang
Khoi, Le Hai
format Article
author Hu, Bingyang
Khoi, Le Hai
author_sort Hu, Bingyang
title Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
title_short Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
title_full Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
title_fullStr Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
title_full_unstemmed Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
title_sort sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball
publishDate 2022
url https://hdl.handle.net/10356/163003
_version_ 1751548563814350848

Similar Items