A Reproducing Kernel Thesis for Operators on $\ell^2$--valued Bergman-type Function Spaces
Classical Analysis and ODEs
2015-05-21 v1
Abstract
In this paper we consider the reproducing kernel thesis for boundedness and compactness for operators on --valued Bergman-type spaces. This paper generalizes many well--known results about classical function spaces to their --valued versions. In particular, the results in this paper apply to the weighted --valued Bergman space on the unit ball, the unit polydisc and, more generally to weighted Fock spaces.
Cite
@article{arxiv.1411.2270,
title = {A Reproducing Kernel Thesis for Operators on $\ell^2$--valued Bergman-type Function Spaces},
author = {Robert Rahm},
journal= {arXiv preprint arXiv:1411.2270},
year = {2015}
}
Comments
In order to be self contained, this paper draws from arXiv:1204.5548, arXiv:1407.4786