Carleson measures on locally finite trees
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914795994742784 |
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| author | Ottazzi, Alessandro Santagati, Federico |
| author_facet | Ottazzi, Alessandro Santagati, Federico |
| contents | We provide a characterization of Carleson measures on locally finite trees. This characterization establishes the connection between Carleson measures and the boundedness of a suitable Poisson integral between $L^p$-spaces. Additionally, when the tree has bounded degree, we investigate the relationship between Carleson measures and BMO functions defined on the boundary of the tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08358 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Carleson measures on locally finite trees Ottazzi, Alessandro Santagati, Federico Functional Analysis Classical Analysis and ODEs 05C05, 05C21, 31C05, 43A99 We provide a characterization of Carleson measures on locally finite trees. This characterization establishes the connection between Carleson measures and the boundedness of a suitable Poisson integral between $L^p$-spaces. Additionally, when the tree has bounded degree, we investigate the relationship between Carleson measures and BMO functions defined on the boundary of the tree. |
| title | Carleson measures on locally finite trees |
| topic | Functional Analysis Classical Analysis and ODEs 05C05, 05C21, 31C05, 43A99 |
| url | https://arxiv.org/abs/2405.08358 |