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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Bibliographic Details
Published in:arXiv.org 2017-04
Main Authors: Pham, Trong Tien, Le, Hai Khoi
Format: Article
Language:English
Subjects:
Composition
Operators
Online Access:Get full text
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Summary: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.
ISSN:2331-8422