Lefèvre, PascalLi, DanielQueffélec, HervéRodríguez Piazza, Luis2023-04-142023-04-142021-06-08Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2021). Compactification, and beyond, of composition operators on Hardy spaces by weights. Annales Fennici Mathematici, 46 (1), 43-57. https://doi.org/10.5186/aasfm.2021.4602.2737-06902737-114Xhttps://hdl.handle.net/11441/144410We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and when it can be in Schatten classes. The q-summing case in Hp is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one.application/pdf14 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Approximation numberscomposition operatorcompactificationdecompactificationHilbert-Schmidt operatorp-summing operatorsSchatten classesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.5186/aasfm.2021.4602