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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.
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https://hal-univ-artois.archives-ouvertes.fr/hal-02437146
Contributor : Daniel Li <>
Submitted on : Friday, January 17, 2020 - 4:16:43 PM
Last modification on : Wednesday, January 22, 2020 - 1:45:49 AM
Document(s) archivé(s) le : Saturday, April 18, 2020 - 12:10:56 PM

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  • HAL Id : hal-02437146, version 1
  • ARXIV : 2001.07482

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Hervé Queffélec, Pascal Lefèvre, Daniel Li, Luis Rodriguez-Piazza. Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions. 2020. ⟨hal-02437146⟩

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