Trace ideal criteria for generalized integration operators
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915265780908032 |
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| author | Nikolaidis, Georgios |
| author_facet | Nikolaidis, Georgios |
| contents | For $g \in \operatorname{Hol}(\mathbb D)$, we study the class of generalized integration operators $T_{g,a}$, acting on Hardy and Bergman spaces of the unit disc in the complex plane. This class of integral operators were introduced to study factorization theorems in the Hardy spaces of the unit disc. We completely characterize the space of symbols g, for which $T_{g,a}$ belongs to the Schatten-von Neumann ideals of the Hardy and Bergman spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trace ideal criteria for generalized integration operators Nikolaidis, Georgios Complex Variables Functional Analysis 30H10, 30H30, 47G10 For $g \in \operatorname{Hol}(\mathbb D)$, we study the class of generalized integration operators $T_{g,a}$, acting on Hardy and Bergman spaces of the unit disc in the complex plane. This class of integral operators were introduced to study factorization theorems in the Hardy spaces of the unit disc. We completely characterize the space of symbols g, for which $T_{g,a}$ belongs to the Schatten-von Neumann ideals of the Hardy and Bergman spaces. |
| title | Trace ideal criteria for generalized integration operators |
| topic | Complex Variables Functional Analysis 30H10, 30H30, 47G10 |
| url | https://arxiv.org/abs/2504.20631 |