Artículo
Some revisited results about composition operators on Hardy spaces
Autor/es | Lefèvre, Pascal
Li, Daniel Queffélec, Hervé Rodríguez Piazza, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2012 |
Fecha de depósito | 2016-09-29 |
Publicado en |
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Resumen | We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces HΨ: construction of a “slow” Blaschke product giving a non-compact composition operator on ... We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces HΨ: construction of a “slow” Blaschke product giving a non-compact composition operator on HΨ; construction of a surjective symbol whose composition operator is compact on HΨ and, moreover, is in all the Schatten classes Sp(H2), p > 0. On the other hand, we revisit the classical case of composition operators on H2, giving first a new, and simplier, characterization of closed range composition operators, and then showing directly the equivalence of the two characterizations of membership in the Schatten classes of Luecking and Luecking and Zhu. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | MTM2006-05622 |
Cita | Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2012). Some revisited results about composition operators on Hardy spaces. Revista Matemática Iberoamericana, 28 (1), 57-76. |
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