Carleson-type embeddings with closed range
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915900394831872 |
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| author | Dyakonov, Konstantin M. |
| author_facet | Dyakonov, Konstantin M. |
| contents | We characterize the Carleson measures $μ$ on the unit disk for which the image of the Hardy space $H^p$ under the corresponding embedding operator is closed in $L^p(μ)$. In fact, a more general result involving $(p,q)$-Carleson measures is obtained. A similar problem is solved in the setting of Bergman spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15079 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Carleson-type embeddings with closed range Dyakonov, Konstantin M. Complex Variables Classical Analysis and ODEs Functional Analysis 30H10, 30H20, 47B91 We characterize the Carleson measures $μ$ on the unit disk for which the image of the Hardy space $H^p$ under the corresponding embedding operator is closed in $L^p(μ)$. In fact, a more general result involving $(p,q)$-Carleson measures is obtained. A similar problem is solved in the setting of Bergman spaces. |
| title | Carleson-type embeddings with closed range |
| topic | Complex Variables Classical Analysis and ODEs Functional Analysis 30H10, 30H20, 47B91 |
| url | https://arxiv.org/abs/2505.15079 |