Reverse Carleson inequalities for weighted Fock spaces with $A_{\infty}$-type weights
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918532736876544 |
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| author | Chen, Jiale |
| author_facet | Chen, Jiale |
| contents | We characterize dominating sets for weighted Fock spaces $F^p_{α,w}$ induced by Muckenhoupt $A_{\infty}$ weights, which leads to a sufficient condition for reverse Carleson measures for the spaces $F^p_{α,w}$ with restricted $A_{\infty}$ weights. Applications to invertibility of Toeplitz operators, closed range property of Volterra operators, and atomic decomposition of $F^p_{α,w}$ are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00484 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reverse Carleson inequalities for weighted Fock spaces with $A_{\infty}$-type weights Chen, Jiale Complex Variables Functional Analysis We characterize dominating sets for weighted Fock spaces $F^p_{α,w}$ induced by Muckenhoupt $A_{\infty}$ weights, which leads to a sufficient condition for reverse Carleson measures for the spaces $F^p_{α,w}$ with restricted $A_{\infty}$ weights. Applications to invertibility of Toeplitz operators, closed range property of Volterra operators, and atomic decomposition of $F^p_{α,w}$ are given. |
| title | Reverse Carleson inequalities for weighted Fock spaces with $A_{\infty}$-type weights |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2606.00484 |