Banach algebra structure in Hardy-Carleson type tent spaces and Cesàro-like operators
Rong Yang, Xiangling Zhu
Published: 2025/9/11
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.