In this paper, we will study n-dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg groups and obtain their sharp bounds by using the rotation method. Furthermore, the sharp bounds of n-dimensional weighted Hardy operator and weighted Ces\`{a}ro operator are also obtained.
@article{arxiv.2304.11792,
title = {Mixed radial-angular bounds for Hardy-type operators on Heisenberg groups},
author = {Zhongci Hang and Xiang Li and Dunyan Yan},
journal= {arXiv preprint arXiv:2304.11792},
year = {2023}
}