Year: 2021
Type: preprint
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 $γ$ 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.
Source: arXiv (Cornell University)
Authors: Konate, S, Orsoni, Marcu-Antone
Institution: Institut de Mathématiques de Bordeaux
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4286911888