Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ)

Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ)

In this paper, we establish necessary and sufficient conditions for boundedness and compactness of weighted composition operators acting between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ). We also give complete descriptions of path connected components for the space of composition operators and the space of nonze...

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Bibliographic Details
Main Authors: Khoi, Le Hai, Thom, Le Thi Hong, Tien, Pham Trong
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
Subjects:
Science::Mathematics
Fock Space
Weighted Composition Operator
Online Access:https://hdl.handle.net/10356/151644
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Institution: Nanyang Technological University
Language: English
Description
Summary:In this paper, we establish necessary and sufficient conditions for boundedness and compactness of weighted composition operators acting between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ). We also give complete descriptions of path connected components for the space of composition operators and the space of nonzero weighted composition operators in this context.

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