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arXiv · 2001.07482

Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions

Hervé Queffélec·Pascal Lefèvre·Daniel Li·Luis Rodriguez-Piazza
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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.

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Hervé Queffélec, Pascal Lefèvre, Daniel Li, Luis Rodriguez-Piazza. 2020-01-21. Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions. https://arxiv.org/abs/2001.07482

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