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

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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Submitted on : Friday, April 12, 2019 - 10:24:56 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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