English

Sharp bounds for a class of integral operators in weighted-type spaces on Heisenberg group

Classical Analysis and ODEs 2023-04-19 v1

Abstract

In this paper, we will use the conclusions and methods in \cite{1} to obtain the sharp bounds for a class of integral operators with the nonnegative kernels in weighted-type spaces on Heisenberg group. As promotions, the sharp bounds of Hardy operator , Hardy Littlewood-P\'{o}lya operator and Hilbert operator are also obtained.

Keywords

Cite

@article{arxiv.2304.08755,
  title  = {Sharp bounds for a class of integral operators in weighted-type spaces on Heisenberg group},
  author = {Xiang Li and Zhanpeng Gu and Dunyan Yan and Zhongci Hang},
  journal= {arXiv preprint arXiv:2304.08755},
  year   = {2023}
}