New interface

# 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.
Keywords :
Document type :
Preprints, Working Papers, ...

Cited literature [47 references]

https://hal-univ-artois.archives-ouvertes.fr/hal-02437146
Contributor : Daniel Li Connect in order to contact the contributor
Submitted on : Friday, January 17, 2020 - 4:16:43 PM
Last modification on : Tuesday, December 6, 2022 - 12:42:11 PM
Long-term archiving on: : Saturday, April 18, 2020 - 12:10:56 PM

### Files

comparaison_ne-varietur.pdf
Files produced by the author(s)

### Identifiers

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

### Citation

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⟩

Record views