2021/03/19 by Siaka Konate, Konate, S, Marcu-Antone Orsoni +2
Mathematics · #Advanced Harmonic Analysis Research #Advanced Operator Algebra Research #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.2103.11653
openalex publication_date 2021/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \citeHKO for the Bergman spaces and is based on a Remez-type inequality and a covering lemma related to doubling measures.