Two remarks on composition operators on the Dirichlet space - Université d'Artois Access content directly
Preprints, Working Papers, ... Year : 2014

Two remarks on composition operators on the Dirichlet space

Hervé Queffélec
  • Function : Author
  • PersonId : 916881
Luis Rodriguez-Piazza
  • Function : Author
  • PersonId : 859619

Abstract

We show that the decay of approximation numbers of compact composition operators on the Dirichlet space $\mathcal{D}$ can be as slow as we wish, which was left open in the cited work. We also prove the optimality of a result of O.~El-Fallah, K.~Kellay, M.~Shabankhah and A.~Youssfi on boundedness on $\mathcal{D}$ of self-maps of the disk all of whose powers are norm-bounded in $\mathcal{D}$.
Fichier principal
Vignette du fichier
Two_remarks_on_Arkiv_paper_R.pdf (179.9 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00982257 , version 1 (23-04-2014)
hal-00982257 , version 2 (10-07-2014)

Identifiers

Cite

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. Two remarks on composition operators on the Dirichlet space. 2014. ⟨hal-00982257v2⟩
163 View
122 Download

Altmetric

Share

Gmail Facebook X LinkedIn More