English

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

Complex Variables 2025-09-12 v1

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 Cμ\mathcal{C}_\mu on Hardy-Carleson type tent spaces ATp(α)AT_p^\infty(\alpha) are also studied.

Keywords

Cite

@article{arxiv.2509.09379,
  title  = {Banach algebra structure in Hardy-Carleson type tent spaces and Ces\`aro-like operators},
  author = {Rong Yang and Xiangling Zhu},
  journal= {arXiv preprint arXiv:2509.09379},
  year   = {2025}
}