Norm bounds for self-adjoint Toeplitz operators with non-radial symbols on the Fock space
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911881261744128 |
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| author | Huang, Yi C. Zhang, Jian-Yang |
| author_facet | Huang, Yi C. Zhang, Jian-Yang |
| contents | In this paper we extend Galbis' elegant norm bounds for self-adjoint Toeplitz operators on the Fock space to bounded and integrable symbols which are non-radial. The main ingredients are a transplantation of the remarkable Nicola-Tilli isoperimetric inequality to the realm of Fock-Toeplitz operator theory and a two-dimensional adaption of Galbis' integration and approximation arguments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_11147 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Norm bounds for self-adjoint Toeplitz operators with non-radial symbols on the Fock space Huang, Yi C. Zhang, Jian-Yang Functional Analysis Primary 47B35, Secondary 30H20 In this paper we extend Galbis' elegant norm bounds for self-adjoint Toeplitz operators on the Fock space to bounded and integrable symbols which are non-radial. The main ingredients are a transplantation of the remarkable Nicola-Tilli isoperimetric inequality to the realm of Fock-Toeplitz operator theory and a two-dimensional adaption of Galbis' integration and approximation arguments. |
| title | Norm bounds for self-adjoint Toeplitz operators with non-radial symbols on the Fock space |
| topic | Functional Analysis Primary 47B35, Secondary 30H20 |
| url | https://arxiv.org/abs/2405.11147 |