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Dominating sets in Bergman spaces and sampling constants

2020/04/10 by Hartmann, Andreas, Kamissoko, Dantouma, Siaka, Konaté +1
#Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.05031

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.

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