Compactification, and beyond, of composition operators on Hardy spaces by weights
classification
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compositionoperatorwhencompactmultiplicationnon-compactturnbeyond
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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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