Sampling constants in generalized Fock spaces
Classical Analysis and ODEs
2023-05-16 v3 Complex Variables
Functional Analysis
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 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.
Cite
@article{arxiv.2103.11653,
title = {Sampling constants in generalized Fock spaces},
author = {S Konate and Marcu-Antone Orsoni},
journal= {arXiv preprint arXiv:2103.11653},
year = {2023}
}