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arXiv · 2509.09379

Banach algebra structure in Hardy-Carleson type tent spaces and Ces\`aro-like operators

Rong Yang·Xiangling Zhu
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Abstract

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 Ces\`aro-like operator $\mathcal{C}_\mu$ on Hardy-Carleson type tent spaces $AT_p^\infty(\alpha)$ are also studied.

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Rong Yang, Xiangling Zhu. 2025-09-11. Banach algebra structure in Hardy-Carleson type tent spaces and Ces\`aro-like operators. https://arxiv.org/abs/2509.09379

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