Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
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 $\D$. 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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2020
- DOI:
- 10.48550/arXiv.2001.07482
- arXiv:
- arXiv:2001.07482
- Bibcode:
- 2020arXiv200107482Q
- Keywords:
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- Mathematics - Functional Analysis