Banach algebra structure in Hardy-Carleson type tent spaces and Cesàro-like operators
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912583066320896 |
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| author | Yang, Rong Zhu, Xiangling |
| author_facet | Yang, Rong Zhu, Xiangling |
| contents | In this paper, the Hadamard-Bergman convolution and Banach algebra structure by the Duhamel product on Hardy-Carleson type tent spaces was investigated. Moreover, the boundedness and compactness of the Cesàro-like operator $\mathcal{C}_μ$ on Hardy-Carleson type tent spaces $AT_p^\infty(α)$ are also studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09379 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Banach algebra structure in Hardy-Carleson type tent spaces and Cesàro-like operators Yang, Rong Zhu, Xiangling Complex Variables In this paper, the Hadamard-Bergman convolution and Banach algebra structure by the Duhamel product on Hardy-Carleson type tent spaces was investigated. Moreover, the boundedness and compactness of the Cesàro-like operator $\mathcal{C}_μ$ on Hardy-Carleson type tent spaces $AT_p^\infty(α)$ are also studied. |
| title | Banach algebra structure in Hardy-Carleson type tent spaces and Cesàro-like operators |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2509.09379 |