The closure of derivative tent spaces in the logarithmic Bloch-type norm
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915494023397376 |
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| author | Yang, Rong Zhu, Xiangling |
| author_facet | Yang, Rong Zhu, Xiangling |
| contents | In this paper, the derivative tent space \(DT_p^q(α)\) is introduced. Then, we study \(\mathcal{C}_{\mathcal{B}_{{\log}^γ}^β}(DT_p^q(α)\cap\mathcal{B}_{{\log}^γ}^β)\), the closure of the derivative tent space \(DT_p^q(α)\) in the logarithmic Bloch-type space \(\Blog\). As a byproduct, some new characterizations for \(C_\mathcal{B}(\mathcal{D}^p_α \cap \mathcal{B})\) and \(C_{\mathcal{B}_{\log}}(\mathcal{D}^2_α\cap\mathcal{B}_{\log})\) are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11086 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The closure of derivative tent spaces in the logarithmic Bloch-type norm Yang, Rong Zhu, Xiangling Complex Variables Functional Analysis In this paper, the derivative tent space \(DT_p^q(α)\) is introduced. Then, we study \(\mathcal{C}_{\mathcal{B}_{{\log}^γ}^β}(DT_p^q(α)\cap\mathcal{B}_{{\log}^γ}^β)\), the closure of the derivative tent space \(DT_p^q(α)\) in the logarithmic Bloch-type space \(\Blog\). As a byproduct, some new characterizations for \(C_\mathcal{B}(\mathcal{D}^p_α \cap \mathcal{B})\) and \(C_{\mathcal{B}_{\log}}(\mathcal{D}^2_α\cap\mathcal{B}_{\log})\) are obtained. |
| title | The closure of derivative tent spaces in the logarithmic Bloch-type norm |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2509.11086 |