Compactification, and beyond, of composition operators on Hardy spaces by weights
Functional Analysis
2019-04-16 v1
Abstract
We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H p is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one. MSC 2010 primary: 47B33 ; secondary: 46B28
Cite
@article{arxiv.1904.06992,
title = {Compactification, and beyond, of composition operators on Hardy spaces by weights},
author = {Pascal Lefèvre and Daniel Li and Hervé Queffélec and Luis Rodriguez-Piazza},
journal= {arXiv preprint arXiv:1904.06992},
year = {2019}
}