Recovering Product BMO from Schatten Hankel operators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910184702476288 |
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| author | Bampouras, Konstantinos Perfekt, Karl-Mikael |
| author_facet | Bampouras, Konstantinos Perfekt, Karl-Mikael |
| contents | We prove that if a small Hankel operator on the product Hardy space belongs to some Schatten class $S^p$, $p < \infty$, then it has a symbol in product BMO. In other words, the conclusion of Nehari's theorem holds under the hypothesis that the operator belongs to a Schatten class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26722 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Recovering Product BMO from Schatten Hankel operators Bampouras, Konstantinos Perfekt, Karl-Mikael Functional Analysis Classical Analysis and ODEs Complex Variables 42B30 (Primary) 47B35, 47B10, 42B35 (Secondary) We prove that if a small Hankel operator on the product Hardy space belongs to some Schatten class $S^p$, $p < \infty$, then it has a symbol in product BMO. In other words, the conclusion of Nehari's theorem holds under the hypothesis that the operator belongs to a Schatten class. |
| title | Recovering Product BMO from Schatten Hankel operators |
| topic | Functional Analysis Classical Analysis and ODEs Complex Variables 42B30 (Primary) 47B35, 47B10, 42B35 (Secondary) |
| url | https://arxiv.org/abs/2604.26722 |