Pascal Lefèvre
Artois University
69 Papers
358 Citations
Pascal Lefèvre is an academic researcher from Artois University. The author has contributed to research in topics: Composition operator & Hardy space. The author has an hindex of 14, co-authored 68 publications. Previous affiliations of Pascal Lefèvre include Lohia Machinery Limited & Centre national de la recherche scientifique.
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Papers
Some examples of compact composition operators on H2
TL;DR: In this article, the authors construct, in an essentially explicit way, various composition operators on H 2 and study their compactness or their membership in the Schatten classes and show that they are all in no Schatten class but have the same modulus on the boundary of D as symbols whose associated composition operators are in S p for every p > 2.
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Some new properties of composition operators associated with lens maps
TL;DR: In this paper, a negative answer to the question of whether all composition operators which are weakly compact on a non-reflexive space are norm-compact is given.
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Some examples of compact composition operators on $H^2$
TL;DR: In this paper, the authors construct, in an essentially explicit way, various composition operators on H 2 and study their compactness or their membership in the Schatten classes and show that they are all in no Schatten class but have the same modulus on the boundary of D as symbols whose associated composition operators are in S p for every p > 2.
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Compact composition operators on weighted Hilbert spaces of analytic functions
Karim Kellay,Pascal Lefèvre +1 more
TL;DR: In this article, the compactness of composition operators is characterized in terms of generalized Nevanlinna counting functions on a large class of Hilbert spaces of analytic functions, which can be viewed between the Bergman and the Dirichlet spaces.
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Compact composition operators on Bergman-Orlicz spaces
TL;DR: In this paper, an analytic self-map of the unit disk and an Orlicz function were constructed for which the composition operator of symbol π is compact on the Hardy-Orlicz space $H^\Psi$, but not on the Bergman-Orlichz space ${\mathfrak B}^ \Psi$.
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