A reproducing kernel thesis for operators on Bergman-type function spaces
Complex Variables
2018-02-09 v4 Classical Analysis and ODEs
Abstract
In this paper we consider the reproducing kernel thesis for boundedness and compactness for various operators on Bergman-type spaces. In particular, the results in this paper apply to the weighted Bergman space on the unit ball, the unit polydisc and more generally to weighted Fock spaces.
Cite
@article{arxiv.1212.0507,
title = {A reproducing kernel thesis for operators on Bergman-type function spaces},
author = {Mishko Mitkovski and Brett D. Wick},
journal= {arXiv preprint arXiv:1212.0507},
year = {2018}
}
Comments
An important issue fixed by replacing the doubling condition with a more flexible finite asymptotic dimension condition