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arxiv: 1704.03752 · v1 · pith:DM5CIAOJnew · submitted 2017-04-12 · 🧮 math.CV

Weighted composition operators between different Fock spaces

classification 🧮 math.CV
keywords compositionoperatorsweightedfockspacespacesactingboundedness
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We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.

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