Proceedings of the American Mathematical Society · 2006 · 65 citations · 5 references
Natural SciencesMaterials ScienceRepresentation TheoryHilbert Space FormalismOperator TheoryBounded OperatorsCompact OperatorsComposition OperatorsOperator Spaces
We characterize the boundedness and compactness of a weighted composition operator on the Fock space. Our results use a certain integral transform. We also estimate the essential norm of a weighted compositon operator. The result could be extended to the higher-dimensional case.
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Hankel Forms and the Fock Space
Svante Janson, Jaak Peetre, Richard Rochberg · Revista Matemática Iberoamericana · 1987 · 231 citations · Full text
Hankel and Toeplitz operators on the Fock space.
Karel Stroethoff · The Michigan Mathematical Journal · 1992 · 63 citations · Full text