Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908697710559232 |
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| author | Chen, Jiale |
| author_facet | Chen, Jiale |
| contents | By establishing some reproducing kernel estimates, we characterize the bounded, compact and Schatten $p$-class Toeplitz operators with positive measure symbols on the weighted Fock space $F^2_{α,w}$ for $p\geq1$, where $w$ is a weight on the complex plane satisfying an $A_{\infty}$-type condition. Applications to Volterra operators and weighted composition operators are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights Chen, Jiale Functional Analysis By establishing some reproducing kernel estimates, we characterize the bounded, compact and Schatten $p$-class Toeplitz operators with positive measure symbols on the weighted Fock space $F^2_{α,w}$ for $p\geq1$, where $w$ is a weight on the complex plane satisfying an $A_{\infty}$-type condition. Applications to Volterra operators and weighted composition operators are given. |
| title | Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2512.07145 |