The reproducing kernel thesis for lower bounds of weighted composition operators
Functional Analysis
2019-02-26 v2 Complex Variables
Abstract
It is shown that the property of being bounded below (having closed range) of weighted composition operators on Hardy and Bergman spaces can be tested by their action on a set of simple test functions, including reproducing kernels. The methods used in the analysis are based on the theory of reverse Carleson embeddings.
Cite
@article{arxiv.1812.08121,
title = {The reproducing kernel thesis for lower bounds of weighted composition operators},
author = {Isabelle Chalendar and Jonathan R. Partington},
journal= {arXiv preprint arXiv:1812.08121},
year = {2019}
}
Comments
10 pages, revised version (minor corrections)