Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
Functional Analysis
2020-01-22 v1
Abstract
We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of analytic functions on the unit disk . We show that for the Hardy and Bergman spaces, our results are sharp. We also give lower and upper estimates of the singular numbers of the composition operator with symbol the ``cusp map'' and the lens maps, acting on weighted Dirichlet spaces.
Keywords
Cite
@article{arxiv.2001.07482,
title = {Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions},
author = {Hervé Queffélec and Pascal Lefèvre and Daniel Li and Luis Rodriguez-Piazza},
journal= {arXiv preprint arXiv:2001.07482},
year = {2020}
}