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math.CA2022
Sharp estimates of the solutions to B{é}zout's polynomial equation and a corona theorem
Emmanuel Fricain, Andreas Hartmann, Ross William T. +1
In this paper, we obtain estimates for the solutions to the classical B{é}zout equation that are analogous to Carleson's solution to the corona theorem for the bounded analytic fun…
math.CA2020
Dominating sets in Bergman spaces and sampling constants
Andreas Hartmann, Dantouma Kamissoko, Konaté Siaka +1
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…