Weighted composition operators between different Fock spaces

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...

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Published in:arXiv.org 2017-04
Main Authors: Pham, Trong Tien, Le, Hai Khoi
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description 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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title Weighted composition operators between different Fock spaces
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