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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sg-ntu-dr.10356-1516442021-07-01T07:39:36Z Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) Khoi, Le Hai Thom, Le Thi Hong Tien, Pham Trong School of Physical and Mathematical Sciences Division of Mathematical Sciences Science::Mathematics Fock Space Weighted Composition Operator 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. Ministry of Education (MOE) The first author was supported in part by MOE’s AcRF Tier 1 M4011724.110 (RG128/16). 2021-07-01T07:39:36Z 2021-07-01T07:39:36Z 2019 Journal Article Khoi, L. H., Thom, L. T. H. & Tien, P. T. (2019). Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ). International Journal of Mathematics, 30(3), 1950015-. https://dx.doi.org/10.1142/S0129167X19500150 0129-167X https://hdl.handle.net/10356/151644 10.1142/S0129167X19500150 2-s2.0-85063756687 3 30 1950015 en M4011724.110 (RG128/16) International Journal of Mathematics © 2019 World Scientific Publishing Company. All rights reserved. |
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Science::Mathematics Fock Space Weighted Composition Operator |
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Science::Mathematics Fock Space Weighted Composition Operator Khoi, Le Hai Thom, Le Thi Hong Tien, Pham Trong Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) |
| description |
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. |
| author2 |
School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Khoi, Le Hai Thom, Le Thi Hong Tien, Pham Trong |
| format |
Article |
| author |
Khoi, Le Hai Thom, Le Thi Hong Tien, Pham Trong |
| author_sort |
Khoi, Le Hai |
| title |
Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) |
| title_short |
Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) |
| title_full |
Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) |
| title_fullStr |
Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) |
| title_full_unstemmed |
Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) |
| title_sort |
weighted composition operators between fock spaces ℱ∞(ℂ) and ℱᵖ(ℂ) |
| publishDate |
2021 |
| url |
https://hdl.handle.net/10356/151644 |
| _version_ |
1705151287693148160 |