SAMPLING CONSTANTS IN GENERALIZED FOCK SPACES
Language
en
Document de travail - Pré-publication
English 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 ...Read more >
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.Read less <
English Keywords
Dominating sets
Sampling constant
Fock space
Relative density
European Project
Joint French-Russian Research Project PRC CNRS/RFBR 2017–2019
ANR Project
Noyaux reproduisants en Analyse et au-delà - ANR-18-CE40-0035
Origin
Hal imported