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

Hervé Queffélec
• Function : Author
• PersonId : 870944
Pascal Lefèvre
Daniel Li
Luis Rodriguez-Piazza
• Function : Author
• PersonId : 859619

#### 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.

#### Domains

Mathematics [math] Functional Analysis [math.FA]

### Dates and versions

hal-02437146 , version 1 (17-01-2020)

### Identifiers

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

### Cite

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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