English

Sharp bounds on higher-dimensional product spaces for Hardy-type operators on Heisenberg group

Classical Analysis and ODEs 2023-05-16 v1

Abstract

In this paper, we study sharp bound on higher-dimensional Lebesgue product space for Hardy operator on Heisenberg group, the constants of sharp bounds are obtained. In addition, we also give the boundedness for weighted Hardy operator and weighted Cesaro operator

Keywords

Cite

@article{arxiv.2305.08679,
  title  = {Sharp bounds on higher-dimensional product spaces for Hardy-type operators on Heisenberg group},
  author = {Zhongci Hang and Wenfeng Liu and Xiang Li and Dunyan Yan},
  journal= {arXiv preprint arXiv:2305.08679},
  year   = {2023}
}