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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
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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 : Tuesday, April 16, 2019 - 1:31:37 AM

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  • HAL Id : hal-02097606, version 1
  • ARXIV : 1904.06992

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

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