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arXiv · 2004.05031

Dominating sets in Bergman spaces and sampling constants

Andreas Hartmann·Dantouma Kamissoko·Konaté Siaka·Marcu-Antone Orsoni
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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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Andreas Hartmann, Dantouma Kamissoko, Konaté Siaka, Marcu-Antone Orsoni. 2020-04-10. Dominating sets in Bergman spaces and sampling constants. https://arxiv.org/abs/2004.05031

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