A characterization of Calderón-Zygmund operators on RBMO
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929375555878912 |
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| author | Doubtsov, Evgueni Vasin, Andrei V. |
| author_facet | Doubtsov, Evgueni Vasin, Andrei V. |
| contents | Let $\mathrm{RBMO}(μ) = \mathrm{RBMO}(\mathbb{R}^m, μ)$ denote the regular BMO space introduced by X. Tolsa for an $n$-dimensional finite positive measure on $\mathbb{R}^m$, $0<n \le m$. We characterize the bounded Calderón-Zygmund operators $T:\mathrm{RBMO}(μ) \to \mathrm{RBMO}(μ)$ in terms of the function $T1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03408 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A characterization of Calderón-Zygmund operators on RBMO Doubtsov, Evgueni Vasin, Andrei V. Functional Analysis Classical Analysis and ODEs 42B20, 42B35 Let $\mathrm{RBMO}(μ) = \mathrm{RBMO}(\mathbb{R}^m, μ)$ denote the regular BMO space introduced by X. Tolsa for an $n$-dimensional finite positive measure on $\mathbb{R}^m$, $0<n \le m$. We characterize the bounded Calderón-Zygmund operators $T:\mathrm{RBMO}(μ) \to \mathrm{RBMO}(μ)$ in terms of the function $T1$. |
| title | A characterization of Calderón-Zygmund operators on RBMO |
| topic | Functional Analysis Classical Analysis and ODEs 42B20, 42B35 |
| url | https://arxiv.org/abs/2406.03408 |