Banach algebra structure in Hardy-Carleson type tent spaces and Cesàro-like operators

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 Cesàro-like operator ${\mathcal{C}}_{\mu }$ on Hardy-Carleson type tent spaces $A{T}_p^{\infty }(\alpha )$ are also studied.