Toeplitz Operators with Positive Measures on Harmonic Fock Spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914968203427840 |
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| author | Gou, Xue Hu, Xin Huang, Sui |
| author_facet | Gou, Xue Hu, Xin Huang, Sui |
| contents | In this paper, we study the basic properties of Toeplitz Operators with positive measures $μ$ on harmonic Fock spaces. We prove equivalent conditions for boundedness, compactness and Schatten classes $S_{p}$ of $T_μ$ by using the methods of Berezin transform of operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06538 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toeplitz Operators with Positive Measures on Harmonic Fock Spaces Gou, Xue Hu, Xin Huang, Sui Functional Analysis 47B35, 47B10 In this paper, we study the basic properties of Toeplitz Operators with positive measures $μ$ on harmonic Fock spaces. We prove equivalent conditions for boundedness, compactness and Schatten classes $S_{p}$ of $T_μ$ by using the methods of Berezin transform of operators. |
| title | Toeplitz Operators with Positive Measures on Harmonic Fock Spaces |
| topic | Functional Analysis 47B35, 47B10 |
| url | https://arxiv.org/abs/2410.06538 |