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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.16152 |
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| _version_ | 1866912440170577920 |
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| author | Mengestie, Tesfa |
| author_facet | Mengestie, Tesfa |
| contents | We characterize
all pairs of entire functions $(u,ψ)$ for which the induced weighted superposition operator $S_{(u,ψ)}$ transforms one Fock space into another Fock space.Further analytical structures like boundedness and Lipschitz continuity of $S_{(u,ψ)}$ are described. We, in particular, show the Fock spaces
support no compact weighted superposition operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16152 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted superposition operators on Fock spaces Mengestie, Tesfa Functional Analysis We characterize all pairs of entire functions $(u,ψ)$ for which the induced weighted superposition operator $S_{(u,ψ)}$ transforms one Fock space into another Fock space.Further analytical structures like boundedness and Lipschitz continuity of $S_{(u,ψ)}$ are described. We, in particular, show the Fock spaces support no compact weighted superposition operator. |
| title | Weighted superposition operators on Fock spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2506.16152 |