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
https://hal-univ-artois.archives-ouvertes.fr/hal-02097606
Contributor : Daniel Li <>
Submitted on : Friday, April 12, 2019 - 10:24:56 AM Last modification on : Sunday, November 29, 2020 - 3:24:03 AM
Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza. Compactification, and beyond, of composition operators on Hardy spaces by weights. 2019. ⟨hal-02097606⟩