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Preprints, Working Papers, ... Year : 2019

Compactification, and beyond, of composition operators on Hardy spaces by weights

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

Abstract

We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H p is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one. MSC 2010 primary: 47B33 ; secondary: 46B28
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hal-02097606 , version 1 (12-04-2019)

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Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza, Pascal Lefèvre. Compactification, and beyond, of composition operators on Hardy spaces by weights. 2019. ⟨hal-02097606⟩
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