Toeplitz operators on large vector-valued Fock spaces
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910915629154304 |
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| author | Arroussi, Hicham Asghari, Ghazaleh Virtanen, Jani |
| author_facet | Arroussi, Hicham Asghari, Ghazaleh Virtanen, Jani |
| contents | We characterize boundedness and compactness of Toeplitz operators on large vector-valued Fock spaces with Dall'Ara's weights [Adv.\ Math., 285 (2015) 1706--1740] in terms of generalized Berezin transforms, averaging functions, and Carleson measures. To determine Schatten class Toeplitz operators, we introduce the operator-valued Berezin transform and averaging functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Toeplitz operators on large vector-valued Fock spaces Arroussi, Hicham Asghari, Ghazaleh Virtanen, Jani Functional Analysis We characterize boundedness and compactness of Toeplitz operators on large vector-valued Fock spaces with Dall'Ara's weights [Adv.\ Math., 285 (2015) 1706--1740] in terms of generalized Berezin transforms, averaging functions, and Carleson measures. To determine Schatten class Toeplitz operators, we introduce the operator-valued Berezin transform and averaging functions. |
| title | Toeplitz operators on large vector-valued Fock spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2504.15239 |