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

Pascal Lefèvre; Daniel Li; Hervé Queffélec; Luis Rodriguez-Piazza

Preprints, Working Papers, ...

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

Pascal Lefèvre ¹ Daniel Li ¹ Hervé Queffélec ² Luis Rodriguez-Piazza ³

1 LML - Laboratoire de Mathématiques de Lens

2 LPP - Laboratoire Paul Painlevé - UMR 8524

3 Departamento de Analisis Matematico

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

Keywords : Key-words approximation numbers composition operator compactification decompactification Hilbert-Schmidt operator p-summing operators Schatten classes

Document type :

Preprints, Working Papers, ...

Domain :

Mathematics [math] / Functional Analysis [math.FA]

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https://hal-univ-artois.archives-ouvertes.fr/hal-02097606
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Submitted on : Friday, April 12, 2019 - 10:24:56 AM
Last modification on : Sunday, November 29, 2020 - 3:24:03 AM

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

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