Weighted composition operators between different fock spaces

We study weighted composition operators acting between Fock spaces. The following results are obtained: (i) Criteria for the boundedness and compactness. (ii) Characterizations of compact differences and essential norm. (iii) Complete descriptions of path connected components and isolated points of...

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Bibliographic Details
Main Authors: Tien, Pham Trong, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/85744
http://hdl.handle.net/10220/48298
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Institution: Nanyang Technological University
Language: English
Description
Summary:We study weighted composition operators acting between Fock spaces. The following results are obtained: (i) Criteria for the boundedness and compactness. (ii) Characterizations of compact differences and essential norm. (iii) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.