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arXiv · 2103.11653

Sampling constants in generalized Fock spaces

S Konate·Marcu-Antone Orsoni
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Abstract

We prove several results related to a Logvinenko-Sereda type theorem on dominating sets for generalized doubling Fock spaces. In particular, we give a precise polynomial dependence of the sampling constant on the relative density parameter $\gamma$ of the dominating set. Our method is an adaptation of that used in \cite{HKO} for the Bergman spaces and is based on a Remez-type inequality and a covering lemma related to doubling measures.

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S Konate, Marcu-Antone Orsoni. 2021-03-22. Sampling constants in generalized Fock spaces. https://arxiv.org/abs/2103.11653

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