Dominating sets in Bergman spaces and sampling constants

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:495

Article

Hartmann, A.¹  Kamissoko, D.²  Konate, S.²  Orsoni, M-A¹ 

[1] Univ Bordeaux, IMB, Bordeaux INP, CNRS,UMR 5251, F-33400 Talence, France

[2] Univ Segou, Bamako, Mali

关键词: Dominating sets;    Reverse Carleson measure;    Bergman space;    Sampling;    Relative density;   

DOI  :  10.1016/j.jmaa.2020.124755

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free