Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912593717755904 |
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| author | Bauer, Wolfram Fulsche, Robert Toft, Joachim |
| author_facet | Bauer, Wolfram Fulsche, Robert Toft, Joachim |
| contents | Let $Φ$ be a Young function. We study convolution properties for symbol classes $s_{A,Φ}$, which consist of all $a$ such that the pseudo-differential operator $\operatorname{Op} _A(a)$ is in the Orlicz Schatten class $\mathscr I _Φ(L^2(\mathbf R^d))$. Especially we prove Young type results for such classes. We apply the results on Toeplitz operators and prove Orlicz Schatten properties of such operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01707 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators Bauer, Wolfram Fulsche, Robert Toft, Joachim Functional Analysis Let $Φ$ be a Young function. We study convolution properties for symbol classes $s_{A,Φ}$, which consist of all $a$ such that the pseudo-differential operator $\operatorname{Op} _A(a)$ is in the Orlicz Schatten class $\mathscr I _Φ(L^2(\mathbf R^d))$. Especially we prove Young type results for such classes. We apply the results on Toeplitz operators and prove Orlicz Schatten properties of such operators. |
| title | Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2505.01707 |